# Solve by Factoring 50x-25=2x^3-x^2

Move all the expressions to the left side of the equation.
Move to the left side of the equation by subtracting it from both sides.
Move to the left side of the equation by adding it to both sides.
Reorder terms.
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, .
Rewrite as .
Factor.
Since both terms are perfect squares, factor using the difference of squares formula, where and .
Remove unnecessary parentheses.
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 .
Subtract from both sides of the equation.
Divide each term by and simplify.
Divide each term in by .
Cancel the common factor of .
Cancel the common factor.
Divide by .
Dividing two negative values results in a positive value.
Set the next factor equal to and solve.
Set the next factor equal to .
Subtract from both sides of the equation.
Set the next factor equal to and solve.
Set the next factor equal to .
Add to both sides of the equation.
The final solution is all the values that make true.
Solve by Factoring 50x-25=2x^3-x^2