Set equal to .

Factor the left side of the equation.

Let . Substitute for all occurrences of .

Factor by grouping.

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 .

Factor out of .

Rewrite as plus

Apply the distributive property.

Factor out the greatest common factor from each group.

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 .

Set equal to .

Solve for .

Add to both sides of the equation.

Divide each term in by and simplify.

Divide each term in by .

Simplify the left side.

Cancel the common factor of .

Cancel the common factor.

Divide by .

Simplify the right side.

Move the negative in front of the fraction.

Set equal to and solve for .

Set equal to .

Solve for .

Add to both sides of the equation.

Divide each term in by and simplify.

Divide each term in by .

Simplify the left side.

Cancel the common factor of .

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