=x^2(2+x)

Solution for =x^2(2+x) equation:

Simplifying
0 = x2(2 + x)
0 = (2 * x2 + x * x2)
0 = (2x2 + x3)

Solving
0 = 2x2 + x3

Solving for variable 'x'.
Remove the zero:
-2x2 + -1x3 = 2x2 + x3 + -2x2 + -1x3

Reorder the terms:
-2x2 + -1x3 = 2x2 + -2x2 + x3 + -1x3

Combine like terms: 2x2 + -2x2 = 0
-2x2 + -1x3 = 0 + x3 + -1x3
-2x2 + -1x3 = x3 + -1x3

Combine like terms: x3 + -1x3 = 0
-2x2 + -1x3 = 0

Factor out the Greatest Common Factor (GCF), '-1x2'.
-1x2(2 + x) = 0

Ignore the factor -1.
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 '(2 + x)' equal to zero and attempt to solve:

Simplifying
2 + x = 0

Solving
2 + x = 0

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

Add '-2' to each side of the equation.
2 + -2 + x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + x = 0 + -2
x = 0 + -2

Combine like terms: 0 + -2 = -2
x = -2

Simplifying
x = -2
Solution
x = {0, -2}