-3x(2x-1)(x+6)(x+6)=0

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Solution for -3x(2x-1)(x+6)(x+6)=0 equation: 


Simplifying
-3x(2x + -1)(x + 6)(x + 6) = 0

Reorder the terms:
-3x(-1 + 2x)(x + 6)(x + 6) = 0

Reorder the terms:
-3x(-1 + 2x)(6 + x)(x + 6) = 0

Reorder the terms:
-3x(-1 + 2x)(6 + x)(6 + x) = 0

Multiply (-1 + 2x) * (6 + x)
-3x(-1(6 + x) + 2x * (6 + x))(6 + x) = 0
-3x((6 * -1 + x * -1) + 2x * (6 + x))(6 + x) = 0
-3x((-6 + -1x) + 2x * (6 + x))(6 + x) = 0
-3x(-6 + -1x + (6 * 2x + x * 2x))(6 + x) = 0
-3x(-6 + -1x + (12x + 2x2))(6 + x) = 0

Combine like terms: -1x + 12x = 11x
-3x(-6 + 11x + 2x2)(6 + x) = 0

Multiply (-6 + 11x + 2x2) * (6 + x)
-3x(-6(6 + x) + 11x * (6 + x) + 2x2 * (6 + x)) = 0
-3x((6 * -6 + x * -6) + 11x * (6 + x) + 2x2 * (6 + x)) = 0
-3x((-36 + -6x) + 11x * (6 + x) + 2x2 * (6 + x)) = 0
-3x(-36 + -6x + (6 * 11x + x * 11x) + 2x2 * (6 + x)) = 0
-3x(-36 + -6x + (66x + 11x2) + 2x2 * (6 + x)) = 0
-3x(-36 + -6x + 66x + 11x2 + (6 * 2x2 + x * 2x2)) = 0
-3x(-36 + -6x + 66x + 11x2 + (12x2 + 2x3)) = 0

Combine like terms: -6x + 66x = 60x
-3x(-36 + 60x + 11x2 + 12x2 + 2x3) = 0

Combine like terms: 11x2 + 12x2 = 23x2
-3x(-36 + 60x + 23x2 + 2x3) = 0
(-36 * -3x + 60x * -3x + 23x2 * -3x + 2x3 * -3x) = 0
(108x + -180x2 + -69x3 + -6x4) = 0

Solving
108x + -180x2 + -69x3 + -6x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x'.
3x(36 + -60x + -23x2 + -2x3) = 0

Ignore the factor 3.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(36 + -60x + -23x2 + -2x3)' equal to zero and attempt to solve:

Simplifying
36 + -60x + -23x2 + -2x3 = 0

Solving
36 + -60x + -23x2 + -2x3 = 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}

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