=5x^2-5x^3

Solution for =5x^2-5x^3 equation:

Simplifying
0 = 5x2 + -5x3

Solving
0 = 5x2 + -5x3

Solving for variable 'x'.
Remove the zero:
-5x2 + 5x3 = 5x2 + -5x3 + -5x2 + 5x3

Reorder the terms:
-5x2 + 5x3 = 5x2 + -5x2 + -5x3 + 5x3

Combine like terms: 5x2 + -5x2 = 0
-5x2 + 5x3 = 0 + -5x3 + 5x3
-5x2 + 5x3 = -5x3 + 5x3

Combine like terms: -5x3 + 5x3 = 0
-5x2 + 5x3 = 0

Factor out the Greatest Common Factor (GCF), '5x2'.
5x2(-1 + x) = 0

Ignore the factor 5.
Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
x2 = 0

Take the square root of each side:
x = {0}
Subproblem 2
Set the factor '(-1 + x)' equal to zero and attempt to solve:

Simplifying
-1 + x = 0

Solving
-1 + x = 0

Move all terms containing x to the left, all other terms to the right.

Add '1' to each side of the equation.
-1 + 1 + x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + x = 0 + 1
x = 0 + 1

Combine like terms: 0 + 1 = 1
x = 1

Simplifying
x = 1
Solution
x = {0, 1}