Find the Roots (Zeros) g(x)=5x-12x^2+3

Math
Set equal to .
Solve for .
Tap for more steps…
Factor the left side of the equation.
Tap for more steps…
Let . Substitute for all occurrences of .
Factor by grouping.
Tap for more steps…
Reorder terms.
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, .
Replace all occurrences of with .
If any individual factor on the left side of the equation is equal to , the entire expression will be equal to .
Set equal to and solve for .
Tap for more steps…
Set equal to .
Solve for .
Tap for more steps…
Add to both sides of the equation.
Divide each term in by and simplify.
Tap for more steps…
Divide each term in by .
Simplify the left side.
Tap for more steps…
Cancel the common factor of .
Tap for more steps…
Cancel the common factor.
Divide by .
Simplify the right side.
Tap for more steps…
Move the negative in front of the fraction.
Set equal to and solve for .
Tap for more steps…
Set equal to .
Solve for .
Tap for more steps…
Add to both sides of the equation.
Divide each term in by and simplify.
Tap for more steps…
Divide each term in by .
Simplify the left side.
Tap for more steps…
Cancel the common factor of .
Tap for more steps…
Cancel the common factor.
Divide by .
The final solution is all the values that make true.
Find the Roots (Zeros) g(x)=5x-12x^2+3

Download our
App from the store

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

Scroll to top