2(2x-2)(2x-4)(2x-6)-12=0

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Solution for 2(2x-2)(2x-4)(2x-6)-12=0 equation:


Simplifying
2(2x + -2)(2x + -4)(2x + -6) + -12 = 0

Reorder the terms:
2(-2 + 2x)(2x + -4)(2x + -6) + -12 = 0

Reorder the terms:
2(-2 + 2x)(-4 + 2x)(2x + -6) + -12 = 0

Reorder the terms:
2(-2 + 2x)(-4 + 2x)(-6 + 2x) + -12 = 0

Multiply (-2 + 2x) * (-4 + 2x)
2(-2(-4 + 2x) + 2x * (-4 + 2x))(-6 + 2x) + -12 = 0
2((-4 * -2 + 2x * -2) + 2x * (-4 + 2x))(-6 + 2x) + -12 = 0
2((8 + -4x) + 2x * (-4 + 2x))(-6 + 2x) + -12 = 0
2(8 + -4x + (-4 * 2x + 2x * 2x))(-6 + 2x) + -12 = 0
2(8 + -4x + (-8x + 4x2))(-6 + 2x) + -12 = 0

Combine like terms: -4x + -8x = -12x
2(8 + -12x + 4x2)(-6 + 2x) + -12 = 0

Multiply (8 + -12x + 4x2) * (-6 + 2x)
2(8(-6 + 2x) + -12x * (-6 + 2x) + 4x2 * (-6 + 2x)) + -12 = 0
2((-6 * 8 + 2x * 8) + -12x * (-6 + 2x) + 4x2 * (-6 + 2x)) + -12 = 0
2((-48 + 16x) + -12x * (-6 + 2x) + 4x2 * (-6 + 2x)) + -12 = 0
2(-48 + 16x + (-6 * -12x + 2x * -12x) + 4x2 * (-6 + 2x)) + -12 = 0
2(-48 + 16x + (72x + -24x2) + 4x2 * (-6 + 2x)) + -12 = 0
2(-48 + 16x + 72x + -24x2 + (-6 * 4x2 + 2x * 4x2)) + -12 = 0
2(-48 + 16x + 72x + -24x2 + (-24x2 + 8x3)) + -12 = 0

Combine like terms: 16x + 72x = 88x
2(-48 + 88x + -24x2 + -24x2 + 8x3) + -12 = 0

Combine like terms: -24x2 + -24x2 = -48x2
2(-48 + 88x + -48x2 + 8x3) + -12 = 0
(-48 * 2 + 88x * 2 + -48x2 * 2 + 8x3 * 2) + -12 = 0
(-96 + 176x + -96x2 + 16x3) + -12 = 0

Reorder the terms:
-96 + -12 + 176x + -96x2 + 16x3 = 0

Combine like terms: -96 + -12 = -108
-108 + 176x + -96x2 + 16x3 = 0

Solving
-108 + 176x + -96x2 + 16x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-27 + 44x + -24x2 + 4x3) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(-27 + 44x + -24x2 + 4x3)' equal to zero and attempt to solve: Simplifying -27 + 44x + -24x2 + 4x3 = 0 Solving -27 + 44x + -24x2 + 4x3 = 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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