(x+2)(x+2)(x+2)(-3x^2)=0

Solution for (x+2)(x+2)(x+2)(-3x^2)=0 equation:

Simplifying
(x + 2)(x + 2)(x + 2)(-3x2) = 0

Reorder the terms:
(2 + x)(x + 2)(x + 2)(-3x2) = 0

Reorder the terms:
(2 + x)(2 + x)(x + 2)(-3x2) = 0

Reorder the terms:
(2 + x)(2 + x)(2 + x)(-3x2) = 0

Remove parenthesis around (-3x2)
(2 + x)(2 + x)(2 + x) * -3x2 = 0

Reorder the terms for easier multiplication:
-3x2(2 + x)(2 + x)(2 + x) = 0

Multiply (2 + x) * (2 + x)
-3x2(2(2 + x) + x(2 + x))(2 + x) = 0
-3x2((2 * 2 + x * 2) + x(2 + x))(2 + x) = 0
-3x2((4 + 2x) + x(2 + x))(2 + x) = 0
-3x2(4 + 2x + (2 * x + x * x))(2 + x) = 0
-3x2(4 + 2x + (2x + x2))(2 + x) = 0

Combine like terms: 2x + 2x = 4x
-3x2(4 + 4x + x2)(2 + x) = 0

Multiply (4 + 4x + x2) * (2 + x)
-3x2(4(2 + x) + 4x * (2 + x) + x2(2 + x)) = 0
-3x2((2 * 4 + x * 4) + 4x * (2 + x) + x2(2 + x)) = 0
-3x2((8 + 4x) + 4x * (2 + x) + x2(2 + x)) = 0
-3x2(8 + 4x + (2 * 4x + x * 4x) + x2(2 + x)) = 0
-3x2(8 + 4x + (8x + 4x2) + x2(2 + x)) = 0
-3x2(8 + 4x + 8x + 4x2 + (2 * x2 + x * x2)) = 0
-3x2(8 + 4x + 8x + 4x2 + (2x2 + x3)) = 0

Combine like terms: 4x + 8x = 12x
-3x2(8 + 12x + 4x2 + 2x2 + x3) = 0

Combine like terms: 4x2 + 2x2 = 6x2
-3x2(8 + 12x + 6x2 + x3) = 0
(8 * -3x2 + 12x * -3x2 + 6x2 * -3x2 + x3 * -3x2) = 0
(-24x2 + -36x3 + -18x4 + -3x5) = 0

Solving
-24x2 + -36x3 + -18x4 + -3x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-3x2'.
-3x2(8 + 12x + 6x2 + x3) = 0

Ignore the factor -3.
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 '(8 + 12x + 6x2 + x3)' equal to zero and attempt to solve:

Simplifying
8 + 12x + 6x2 + x3 = 0

Solving
8 + 12x + 6x2 + x3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}