=7(x^2-x^3)

Solution for =7(x^2-x^3) equation:

Simplifying
0 = 7(x2 + -1x3)
0 = (x2 * 7 + -1x3 * 7)
0 = (7x2 + -7x3)

Solving
0 = 7x2 + -7x3

Solving for variable 'x'.
Remove the zero:
-7x2 + 7x3 = 7x2 + -7x3 + -7x2 + 7x3

Reorder the terms:
-7x2 + 7x3 = 7x2 + -7x2 + -7x3 + 7x3

Combine like terms: 7x2 + -7x2 = 0
-7x2 + 7x3 = 0 + -7x3 + 7x3
-7x2 + 7x3 = -7x3 + 7x3

Combine like terms: -7x3 + 7x3 = 0
-7x2 + 7x3 = 0

Factor out the Greatest Common Factor (GCF), '7x2'.
7x2(-1 + x) = 0

Ignore the factor 7.
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}