x(x-3)(4x^2-36)=0

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Solution for x(x-3)(4x^2-36)=0 equation: 


Simplifying
x(x + -3)(4x2 + -36) = 0

Reorder the terms:
x(-3 + x)(4x2 + -36) = 0

Reorder the terms:
x(-3 + x)(-36 + 4x2) = 0

Multiply (-3 + x) * (-36 + 4x2)
x(-3(-36 + 4x2) + x(-36 + 4x2)) = 0
x((-36 * -3 + 4x2 * -3) + x(-36 + 4x2)) = 0
x((108 + -12x2) + x(-36 + 4x2)) = 0
x(108 + -12x2 + (-36 * x + 4x2 * x)) = 0
x(108 + -12x2 + (-36x + 4x3)) = 0

Reorder the terms:
x(108 + -36x + -12x2 + 4x3) = 0
x(108 + -36x + -12x2 + 4x3) = 0
(108 * x + -36x * x + -12x2 * x + 4x3 * x) = 0
(108x + -36x2 + -12x3 + 4x4) = 0

Solving
108x + -36x2 + -12x3 + 4x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x'.
4x(27 + -9x + -3x2 + x3) = 0

Ignore the factor 4.

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 '(27 + -9x + -3x2 + x3)' equal to zero and attempt to solve:

Simplifying
27 + -9x + -3x2 + x3 = 0

Solving
27 + -9x + -3x2 + 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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