(3x-2)(2x-2)(x-2)=84

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Solution for (3x-2)(2x-2)(x-2)=84 equation: 


Simplifying
(3x + -2)(2x + -2)(x + -2) = 84

Reorder the terms:
(-2 + 3x)(2x + -2)(x + -2) = 84

Reorder the terms:
(-2 + 3x)(-2 + 2x)(x + -2) = 84

Reorder the terms:
(-2 + 3x)(-2 + 2x)(-2 + x) = 84

Multiply (-2 + 3x) * (-2 + 2x)
(-2(-2 + 2x) + 3x * (-2 + 2x))(-2 + x) = 84
((-2 * -2 + 2x * -2) + 3x * (-2 + 2x))(-2 + x) = 84
((4 + -4x) + 3x * (-2 + 2x))(-2 + x) = 84
(4 + -4x + (-2 * 3x + 2x * 3x))(-2 + x) = 84
(4 + -4x + (-6x + 6x2))(-2 + x) = 84

Combine like terms: -4x + -6x = -10x
(4 + -10x + 6x2)(-2 + x) = 84

Multiply (4 + -10x + 6x2) * (-2 + x)
(4(-2 + x) + -10x * (-2 + x) + 6x2 * (-2 + x)) = 84
((-2 * 4 + x * 4) + -10x * (-2 + x) + 6x2 * (-2 + x)) = 84
((-8 + 4x) + -10x * (-2 + x) + 6x2 * (-2 + x)) = 84
(-8 + 4x + (-2 * -10x + x * -10x) + 6x2 * (-2 + x)) = 84
(-8 + 4x + (20x + -10x2) + 6x2 * (-2 + x)) = 84
(-8 + 4x + 20x + -10x2 + (-2 * 6x2 + x * 6x2)) = 84
(-8 + 4x + 20x + -10x2 + (-12x2 + 6x3)) = 84

Combine like terms: 4x + 20x = 24x
(-8 + 24x + -10x2 + -12x2 + 6x3) = 84

Combine like terms: -10x2 + -12x2 = -22x2
(-8 + 24x + -22x2 + 6x3) = 84

Solving
-8 + 24x + -22x2 + 6x3 = 84

Solving for variable 'x'.

Reorder the terms:
-8 + -84 + 24x + -22x2 + 6x3 = 84 + -84

Combine like terms: -8 + -84 = -92
-92 + 24x + -22x2 + 6x3 = 84 + -84

Combine like terms: 84 + -84 = 0
-92 + 24x + -22x2 + 6x3 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-46 + 12x + -11x2 + 3x3) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-46 + 12x + -11x2 + 3x3)' equal to zero and attempt to solve:

Simplifying
-46 + 12x + -11x2 + 3x3 = 0

Solving
-46 + 12x + -11x2 + 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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