6x(x+6)(x^2-36)=0

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Solution for 6x(x+6)(x^2-36)=0 equation: 


Simplifying
6x(x + 6)(x2 + -36) = 0

Reorder the terms:
6x(6 + x)(x2 + -36) = 0

Reorder the terms:
6x(6 + x)(-36 + x2) = 0

Multiply (6 + x) * (-36 + x2)
6x(6(-36 + x2) + x(-36 + x2)) = 0
6x((-36 * 6 + x2 * 6) + x(-36 + x2)) = 0
6x((-216 + 6x2) + x(-36 + x2)) = 0
6x(-216 + 6x2 + (-36 * x + x2 * x)) = 0
6x(-216 + 6x2 + (-36x + x3)) = 0

Reorder the terms:
6x(-216 + -36x + 6x2 + x3) = 0
6x(-216 + -36x + 6x2 + x3) = 0
(-216 * 6x + -36x * 6x + 6x2 * 6x + x3 * 6x) = 0
(-1296x + -216x2 + 36x3 + 6x4) = 0

Solving
-1296x + -216x2 + 36x3 + 6x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6x'.
6x(-216 + -36x + 6x2 + x3) = 0

Ignore the factor 6.

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 '(-216 + -36x + 6x2 + x3)' equal to zero and attempt to solve:

Simplifying
-216 + -36x + 6x2 + x3 = 0

Solving
-216 + -36x + 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}

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