(2x-2)(3x-6)-(3x-6)(-3x-27)2x=0

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Solution for (2x-2)(3x-6)-(3x-6)(-3x-27)2x=0 equation: 


Simplifying
(2x + -2)(3x + -6) + -1(3x + -6)(-3x + -27) * 2x = 0

Reorder the terms:
(-2 + 2x)(3x + -6) + -1(3x + -6)(-3x + -27) * 2x = 0

Reorder the terms:
(-2 + 2x)(-6 + 3x) + -1(3x + -6)(-3x + -27) * 2x = 0

Multiply (-2 + 2x) * (-6 + 3x)
(-2(-6 + 3x) + 2x * (-6 + 3x)) + -1(3x + -6)(-3x + -27) * 2x = 0
((-6 * -2 + 3x * -2) + 2x * (-6 + 3x)) + -1(3x + -6)(-3x + -27) * 2x = 0
((12 + -6x) + 2x * (-6 + 3x)) + -1(3x + -6)(-3x + -27) * 2x = 0
(12 + -6x + (-6 * 2x + 3x * 2x)) + -1(3x + -6)(-3x + -27) * 2x = 0
(12 + -6x + (-12x + 6x2)) + -1(3x + -6)(-3x + -27) * 2x = 0

Combine like terms: -6x + -12x = -18x
(12 + -18x + 6x2) + -1(3x + -6)(-3x + -27) * 2x = 0

Reorder the terms:
12 + -18x + 6x2 + -1(-6 + 3x)(-3x + -27) * 2x = 0

Reorder the terms:
12 + -18x + 6x2 + -1(-6 + 3x)(-27 + -3x) * 2x = 0

Reorder the terms for easier multiplication:
12 + -18x + 6x2 + -1 * 2x(-6 + 3x)(-27 + -3x) = 0

Multiply -1 * 2
12 + -18x + 6x2 + -2x(-6 + 3x)(-27 + -3x) = 0

Multiply (-6 + 3x) * (-27 + -3x)
12 + -18x + 6x2 + -2x(-6(-27 + -3x) + 3x * (-27 + -3x)) = 0
12 + -18x + 6x2 + -2x((-27 * -6 + -3x * -6) + 3x * (-27 + -3x)) = 0
12 + -18x + 6x2 + -2x((162 + 18x) + 3x * (-27 + -3x)) = 0
12 + -18x + 6x2 + -2x(162 + 18x + (-27 * 3x + -3x * 3x)) = 0
12 + -18x + 6x2 + -2x(162 + 18x + (-81x + -9x2)) = 0

Combine like terms: 18x + -81x = -63x
12 + -18x + 6x2 + -2x(162 + -63x + -9x2) = 0
12 + -18x + 6x2 + (162 * -2x + -63x * -2x + -9x2 * -2x) = 0
12 + -18x + 6x2 + (-324x + 126x2 + 18x3) = 0

Reorder the terms:
12 + -18x + -324x + 6x2 + 126x2 + 18x3 = 0

Combine like terms: -18x + -324x = -342x
12 + -342x + 6x2 + 126x2 + 18x3 = 0

Combine like terms: 6x2 + 126x2 = 132x2
12 + -342x + 132x2 + 18x3 = 0

Solving
12 + -342x + 132x2 + 18x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6'.
6(2 + -57x + 22x2 + 3x3) = 0

Ignore the factor 6.

Subproblem 1
Set the factor '(2 + -57x + 22x2 + 3x3)' equal to zero and attempt to solve:

Simplifying
2 + -57x + 22x2 + 3x3 = 0

Solving
2 + -57x + 22x2 + 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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