=x^2(6+x)

Solution for =x^2(6+x) equation:

Simplifying
0 = x2(6 + x)
0 = (6 * x2 + x * x2)
0 = (6x2 + x3)

Solving
0 = 6x2 + x3

Solving for variable 'x'.
Remove the zero:
-6x2 + -1x3 = 6x2 + x3 + -6x2 + -1x3

Reorder the terms:
-6x2 + -1x3 = 6x2 + -6x2 + x3 + -1x3

Combine like terms: 6x2 + -6x2 = 0
-6x2 + -1x3 = 0 + x3 + -1x3
-6x2 + -1x3 = x3 + -1x3

Combine like terms: x3 + -1x3 = 0
-6x2 + -1x3 = 0

Factor out the Greatest Common Factor (GCF), '-1x2'.
-1x2(6 + 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 '(6 + x)' equal to zero and attempt to solve:

Simplifying
6 + x = 0

Solving
6 + x = 0

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

Add '-6' to each side of the equation.
6 + -6 + x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + x = 0 + -6
x = 0 + -6

Combine like terms: 0 + -6 = -6
x = -6

Simplifying
x = -6
Solution
x = {0, -6}