Move to the left side of the equation by subtracting it from both sides.

Reorder terms.

To write as a fraction with a common denominator, multiply by .

Multiply and .

Multiply by .

Combine the numerators over the common denominator.

Write as a fraction with a common denominator.

Combine the numerators over the common denominator.

Reorder terms.

Consider the form . Find a pair of integers whose product is and whose sum is . In this case, whose product is and whose sum is .

Write the factored form using these integers.

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 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 in by in order to remove all the denominators from the equation.

Simplify .

Cancel the common factor of .

Cancel the common factor.

Rewrite the expression.

Expand using the FOIL Method.

Apply the distributive property.

Apply the distributive property.

Apply the distributive property.

Simplify and combine like terms.

Simplify each term.

Multiply by .

Move to the left of .

Multiply by .

Subtract from .

Multiply by .

Factor using the AC method.

Consider the form . Find a pair of integers whose product is and whose sum is . In this case, whose product is and whose sum is .

Write the factored form using these integers.

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.

Set the first factor equal to .

Add to both sides of the equation.

Set the next factor equal to and solve.

Set the next factor equal to .

Subtract from both sides of the equation.

The final solution is all the values that make true.

Solve by Factoring 1+1/x=30/(x^2)