(x-2)(3x-2)(6x-2)=112

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Solution for (x-2)(3x-2)(6x-2)=112 equation: 


Simplifying
(x + -2)(3x + -2)(6x + -2) = 112

Reorder the terms:
(-2 + x)(3x + -2)(6x + -2) = 112

Reorder the terms:
(-2 + x)(-2 + 3x)(6x + -2) = 112

Reorder the terms:
(-2 + x)(-2 + 3x)(-2 + 6x) = 112

Multiply (-2 + x) * (-2 + 3x)
(-2(-2 + 3x) + x(-2 + 3x))(-2 + 6x) = 112
((-2 * -2 + 3x * -2) + x(-2 + 3x))(-2 + 6x) = 112
((4 + -6x) + x(-2 + 3x))(-2 + 6x) = 112
(4 + -6x + (-2 * x + 3x * x))(-2 + 6x) = 112
(4 + -6x + (-2x + 3x2))(-2 + 6x) = 112

Combine like terms: -6x + -2x = -8x
(4 + -8x + 3x2)(-2 + 6x) = 112

Multiply (4 + -8x + 3x2) * (-2 + 6x)
(4(-2 + 6x) + -8x * (-2 + 6x) + 3x2 * (-2 + 6x)) = 112
((-2 * 4 + 6x * 4) + -8x * (-2 + 6x) + 3x2 * (-2 + 6x)) = 112
((-8 + 24x) + -8x * (-2 + 6x) + 3x2 * (-2 + 6x)) = 112
(-8 + 24x + (-2 * -8x + 6x * -8x) + 3x2 * (-2 + 6x)) = 112
(-8 + 24x + (16x + -48x2) + 3x2 * (-2 + 6x)) = 112
(-8 + 24x + 16x + -48x2 + (-2 * 3x2 + 6x * 3x2)) = 112
(-8 + 24x + 16x + -48x2 + (-6x2 + 18x3)) = 112

Combine like terms: 24x + 16x = 40x
(-8 + 40x + -48x2 + -6x2 + 18x3) = 112

Combine like terms: -48x2 + -6x2 = -54x2
(-8 + 40x + -54x2 + 18x3) = 112

Solving
-8 + 40x + -54x2 + 18x3 = 112

Solving for variable 'x'.

Reorder the terms:
-8 + -112 + 40x + -54x2 + 18x3 = 112 + -112

Combine like terms: -8 + -112 = -120
-120 + 40x + -54x2 + 18x3 = 112 + -112

Combine like terms: 112 + -112 = 0
-120 + 40x + -54x2 + 18x3 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-60 + 20x + -27x2 + 9x3) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-60 + 20x + -27x2 + 9x3)' equal to zero and attempt to solve:

Simplifying
-60 + 20x + -27x2 + 9x3 = 0

Solving
-60 + 20x + -27x2 + 9x3 = 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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