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

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


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

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

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

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

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

Combine like terms: -4x + -6x = -10x
x(4 + -10x + 6x2) = 84
(4 * x + -10x * x + 6x2 * x) = 84
(4x + -10x2 + 6x3) = 84

Solving
4x + -10x2 + 6x3 = 84

Solving for variable 'x'.

Reorder the terms:
-84 + 4x + -10x2 + 6x3 = 84 + -84

Combine like terms: 84 + -84 = 0
-84 + 4x + -10x2 + 6x3 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-42 + 2x + -5x2 + 3x3) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-42 + 2x + -5x2 + 3x3)' equal to zero and attempt to solve: Simplifying -42 + 2x + -5x2 + 3x3 = 0 Solving -42 + 2x + -5x2 + 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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