Solve for x 2x^-2-5x^-1-3=0

Math
Simplify each term.
Tap for more steps…
Rewrite the expression using the negative exponent rule .
Combine and .
Rewrite the expression using the negative exponent rule .
Combine and .
Move the negative in front of the fraction.
Find the LCD of the terms in the equation.
Tap for more steps…
Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.
Since contain both numbers and variables, there are two steps to find the LCM. Find LCM for the numeric part then find LCM for the variable part .
The LCM is the smallest positive number that all of the numbers divide into evenly.
1. List the prime factors of each number.
2. Multiply each factor the greatest number of times it occurs in either number.
The number is not a prime number because it only has one positive factor, which is itself.
Not prime
The LCM of is the result of multiplying all prime factors the greatest number of times they occur in either number.
The factors for are , which is multiplied by each other times.
occurs times.
The factor for is itself.
occurs time.
The LCM of is the result of multiplying all prime factors the greatest number of times they occur in either term.
Multiply by .
Multiply each term by and simplify.
Tap for more steps…
Multiply each term in by in order to remove all the denominators from the equation.
Simplify each term.
Tap for more steps…
Cancel the common factor of .
Tap for more steps…
Cancel the common factor.
Rewrite the expression.
Cancel the common factor of .
Tap for more steps…
Move the leading negative in into the numerator.
Factor out of .
Cancel the common factor.
Rewrite the expression.
Multiply by .
Solve the equation.
Tap for more steps…
Factor the left side of the equation.
Tap for more steps…
Factor out of .
Tap for more steps…
Reorder the expression.
Tap for more steps…
Move .
Reorder and .
Factor out of .
Factor out of .
Rewrite as .
Factor out of .
Factor out of .
Factor.
Tap for more steps…
Factor by grouping.
Tap for more steps…
For a polynomial of the form , rewrite the middle term as a sum of two terms whose product is and whose sum is .
Tap for more steps…
Factor out of .
Rewrite as plus
Apply the distributive property.
Factor out the greatest common factor from each group.
Tap for more steps…
Group the first two terms and the last two terms.
Factor out the greatest common factor (GCF) from each group.
Factor the polynomial by factoring out the greatest common factor, .
Remove unnecessary parentheses.
Multiply each term in by
Tap for more steps…
Multiply each term in by .
Simplify .
Tap for more steps…
Simplify by multiplying through.
Tap for more steps…
Apply the distributive property.
Multiply.
Tap for more steps…
Multiply by .
Multiply by .
Expand using the FOIL Method.
Tap for more steps…
Apply the distributive property.
Apply the distributive property.
Apply the distributive property.
Simplify and combine like terms.
Tap for more steps…
Simplify each term.
Tap for more steps…
Multiply by by adding the exponents.
Tap for more steps…
Move .
Multiply by .
Multiply by .
Multiply by .
Multiply by .
Add and .
Apply the distributive property.
Simplify.
Tap for more steps…
Multiply by .
Multiply by .
Multiply by .
Multiply by .
Factor by grouping.
Tap for more steps…
For a polynomial of the form , rewrite the middle term as a sum of two terms whose product is and whose sum is .
Tap for more steps…
Factor out of .
Rewrite as plus
Apply the distributive property.
Factor out the greatest common factor from each group.
Tap for more steps…
Group the first two terms and the last two terms.
Factor out the greatest common factor (GCF) from each group.
Factor the polynomial by factoring out the greatest common factor, .
If any individual factor on the left side of the equation is equal to , the entire expression will be equal to .
Set the first factor equal to and solve.
Tap for more steps…
Set the first factor equal to .
Add to both sides of the equation.
Divide each term by and simplify.
Tap for more steps…
Divide each term in by .
Cancel the common factor of .
Tap for more steps…
Cancel the common factor.
Divide by .
Set the next factor equal to and solve.
Tap for more steps…
Set the next factor equal to .
Subtract from both sides of the equation.
The final solution is all the values that make true.
The result can be shown in multiple forms.
Exact Form:
Decimal Form:
Solve for x 2x^-2-5x^-1-3=0

Download our
App from the store

Create a High Performed UI/UX Design from a Silicon Valley.

Scroll to top