3x(x-6)(14x+7)(3x-6)=0

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Solution for 3x(x-6)(14x+7)(3x-6)=0 equation: 


Simplifying
3x(x + -6)(14x + 7)(3x + -6) = 0

Reorder the terms:
3x(-6 + x)(14x + 7)(3x + -6) = 0

Reorder the terms:
3x(-6 + x)(7 + 14x)(3x + -6) = 0

Reorder the terms:
3x(-6 + x)(7 + 14x)(-6 + 3x) = 0

Multiply (-6 + x) * (7 + 14x)
3x(-6(7 + 14x) + x(7 + 14x))(-6 + 3x) = 0
3x((7 * -6 + 14x * -6) + x(7 + 14x))(-6 + 3x) = 0
3x((-42 + -84x) + x(7 + 14x))(-6 + 3x) = 0
3x(-42 + -84x + (7 * x + 14x * x))(-6 + 3x) = 0
3x(-42 + -84x + (7x + 14x2))(-6 + 3x) = 0

Combine like terms: -84x + 7x = -77x
3x(-42 + -77x + 14x2)(-6 + 3x) = 0

Multiply (-42 + -77x + 14x2) * (-6 + 3x)
3x(-42(-6 + 3x) + -77x * (-6 + 3x) + 14x2 * (-6 + 3x)) = 0
3x((-6 * -42 + 3x * -42) + -77x * (-6 + 3x) + 14x2 * (-6 + 3x)) = 0
3x((252 + -126x) + -77x * (-6 + 3x) + 14x2 * (-6 + 3x)) = 0
3x(252 + -126x + (-6 * -77x + 3x * -77x) + 14x2 * (-6 + 3x)) = 0
3x(252 + -126x + (462x + -231x2) + 14x2 * (-6 + 3x)) = 0
3x(252 + -126x + 462x + -231x2 + (-6 * 14x2 + 3x * 14x2)) = 0
3x(252 + -126x + 462x + -231x2 + (-84x2 + 42x3)) = 0

Combine like terms: -126x + 462x = 336x
3x(252 + 336x + -231x2 + -84x2 + 42x3) = 0

Combine like terms: -231x2 + -84x2 = -315x2
3x(252 + 336x + -315x2 + 42x3) = 0
(252 * 3x + 336x * 3x + -315x2 * 3x + 42x3 * 3x) = 0
(756x + 1008x2 + -945x3 + 126x4) = 0

Solving
756x + 1008x2 + -945x3 + 126x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '63x'.
63x(12 + 16x + -15x2 + 2x3) = 0

Ignore the factor 63.

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 '(12 + 16x + -15x2 + 2x3)' equal to zero and attempt to solve:

Simplifying
12 + 16x + -15x2 + 2x3 = 0

Solving
12 + 16x + -15x2 + 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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