x^2(x-12)(x+2)=

Solution for x^2(x-12)(x+2)= equation:

Simplifying
x2(x + -12)(x + 2) = 0

Reorder the terms:
x2(-12 + x)(x + 2) = 0

Reorder the terms:
x2(-12 + x)(2 + x) = 0

Multiply (-12 + x) * (2 + x)
x2(-12(2 + x) + x(2 + x)) = 0
x2((2 * -12 + x * -12) + x(2 + x)) = 0
x2((-24 + -12x) + x(2 + x)) = 0
x2(-24 + -12x + (2 * x + x * x)) = 0
x2(-24 + -12x + (2x + x2)) = 0

Combine like terms: -12x + 2x = -10x
x2(-24 + -10x + x2) = 0
(-24 * x2 + -10x * x2 + x2 * x2) = 0
(-24x2 + -10x3 + x4) = 0

Solving
-24x2 + -10x3 + x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(-24 + -10x + x2) = 0

Factor a trinomial.
x2((-2 + -1x)(12 + -1x)) = 0

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 + -1x)' equal to zero and attempt to solve:

Simplifying
-2 + -1x = 0

Solving
-2 + -1x = 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 + -1x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1x = 0 + 2
-1x = 0 + 2

Combine like terms: 0 + 2 = 2
-1x = 2

Divide each side by '-1'.
x = -2

Simplifying
x = -2
Subproblem 3
Set the factor '(12 + -1x)' equal to zero and attempt to solve:

Simplifying
12 + -1x = 0

Solving
12 + -1x = 0

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

Add '-12' to each side of the equation.
12 + -12 + -1x = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -1x = 0 + -12
-1x = 0 + -12

Combine like terms: 0 + -12 = -12
-1x = -12

Divide each side by '-1'.
x = 12

Simplifying
x = 12
Solution
x = {0, -2, 12}