(6x-2)(x-6)(x-6)=0

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


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

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

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

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

Multiply (-2 + 6x) * (-6 + x)
(-2(-6 + x) + 6x * (-6 + x))(-6 + x) = 0
((-6 * -2 + x * -2) + 6x * (-6 + x))(-6 + x) = 0
((12 + -2x) + 6x * (-6 + x))(-6 + x) = 0
(12 + -2x + (-6 * 6x + x * 6x))(-6 + x) = 0
(12 + -2x + (-36x + 6x2))(-6 + x) = 0

Combine like terms: -2x + -36x = -38x
(12 + -38x + 6x2)(-6 + x) = 0

Multiply (12 + -38x + 6x2) * (-6 + x)
(12(-6 + x) + -38x * (-6 + x) + 6x2 * (-6 + x)) = 0
((-6 * 12 + x * 12) + -38x * (-6 + x) + 6x2 * (-6 + x)) = 0
((-72 + 12x) + -38x * (-6 + x) + 6x2 * (-6 + x)) = 0
(-72 + 12x + (-6 * -38x + x * -38x) + 6x2 * (-6 + x)) = 0
(-72 + 12x + (228x + -38x2) + 6x2 * (-6 + x)) = 0
(-72 + 12x + 228x + -38x2 + (-6 * 6x2 + x * 6x2)) = 0
(-72 + 12x + 228x + -38x2 + (-36x2 + 6x3)) = 0

Combine like terms: 12x + 228x = 240x
(-72 + 240x + -38x2 + -36x2 + 6x3) = 0

Combine like terms: -38x2 + -36x2 = -74x2
(-72 + 240x + -74x2 + 6x3) = 0

Solving
-72 + 240x + -74x2 + 6x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-36 + 120x + -37x2 + 3x3) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-36 + 120x + -37x2 + 3x3)' equal to zero and attempt to solve:

Simplifying
-36 + 120x + -37x2 + 3x3 = 0

Solving
-36 + 120x + -37x2 + 3x3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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