(4x+12)(2x-2)(3x-9)=0

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Solution for (4x+12)(2x-2)(3x-9)=0 equation: 


Simplifying
(4x + 12)(2x + -2)(3x + -9) = 0

Reorder the terms:
(12 + 4x)(2x + -2)(3x + -9) = 0

Reorder the terms:
(12 + 4x)(-2 + 2x)(3x + -9) = 0

Reorder the terms:
(12 + 4x)(-2 + 2x)(-9 + 3x) = 0

Multiply (12 + 4x) * (-2 + 2x)
(12(-2 + 2x) + 4x * (-2 + 2x))(-9 + 3x) = 0
((-2 * 12 + 2x * 12) + 4x * (-2 + 2x))(-9 + 3x) = 0
((-24 + 24x) + 4x * (-2 + 2x))(-9 + 3x) = 0
(-24 + 24x + (-2 * 4x + 2x * 4x))(-9 + 3x) = 0
(-24 + 24x + (-8x + 8x2))(-9 + 3x) = 0

Combine like terms: 24x + -8x = 16x
(-24 + 16x + 8x2)(-9 + 3x) = 0

Multiply (-24 + 16x + 8x2) * (-9 + 3x)
(-24(-9 + 3x) + 16x * (-9 + 3x) + 8x2 * (-9 + 3x)) = 0
((-9 * -24 + 3x * -24) + 16x * (-9 + 3x) + 8x2 * (-9 + 3x)) = 0
((216 + -72x) + 16x * (-9 + 3x) + 8x2 * (-9 + 3x)) = 0
(216 + -72x + (-9 * 16x + 3x * 16x) + 8x2 * (-9 + 3x)) = 0
(216 + -72x + (-144x + 48x2) + 8x2 * (-9 + 3x)) = 0
(216 + -72x + -144x + 48x2 + (-9 * 8x2 + 3x * 8x2)) = 0
(216 + -72x + -144x + 48x2 + (-72x2 + 24x3)) = 0

Combine like terms: -72x + -144x = -216x
(216 + -216x + 48x2 + -72x2 + 24x3) = 0

Combine like terms: 48x2 + -72x2 = -24x2
(216 + -216x + -24x2 + 24x3) = 0

Solving
216 + -216x + -24x2 + 24x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '24'.
24(9 + -9x + -1x2 + x3) = 0

Ignore the factor 24.

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

Simplifying
9 + -9x + -1x2 + x3 = 0

Solving
9 + -9x + -1x2 + x3 = 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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