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

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


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

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

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

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

Multiply (6 + x) * (-3 + x)
x(6(-3 + x) + x(-3 + x))(-3 + x) = 0
x((-3 * 6 + x * 6) + x(-3 + x))(-3 + x) = 0
x((-18 + 6x) + x(-3 + x))(-3 + x) = 0
x(-18 + 6x + (-3 * x + x * x))(-3 + x) = 0
x(-18 + 6x + (-3x + x2))(-3 + x) = 0

Combine like terms: 6x + -3x = 3x
x(-18 + 3x + x2)(-3 + x) = 0

Multiply (-18 + 3x + x2) * (-3 + x)
x(-18(-3 + x) + 3x * (-3 + x) + x2(-3 + x)) = 0
x((-3 * -18 + x * -18) + 3x * (-3 + x) + x2(-3 + x)) = 0
x((54 + -18x) + 3x * (-3 + x) + x2(-3 + x)) = 0
x(54 + -18x + (-3 * 3x + x * 3x) + x2(-3 + x)) = 0
x(54 + -18x + (-9x + 3x2) + x2(-3 + x)) = 0
x(54 + -18x + -9x + 3x2 + (-3 * x2 + x * x2)) = 0
x(54 + -18x + -9x + 3x2 + (-3x2 + x3)) = 0

Combine like terms: -18x + -9x = -27x
x(54 + -27x + 3x2 + -3x2 + x3) = 0

Combine like terms: 3x2 + -3x2 = 0
x(54 + -27x + 0 + x3) = 0
x(54 + -27x + x3) = 0
(54 * x + -27x * x + x3 * x) = 0
(54x + -27x2 + x4) = 0

Solving
54x + -27x2 + x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(54 + -27x + x3) = 0


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 '(54 + -27x + x3)' equal to zero and attempt to solve:

Simplifying
54 + -27x + x3 = 0

Solving
54 + -27x + 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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