(6x+12)(2x-4)(x-9)=0

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Solution for (6x+12)(2x-4)(x-9)=0 equation:


Simplifying
(6x + 12)(2x + -4)(x + -9) = 0

Reorder the terms:
(12 + 6x)(2x + -4)(x + -9) = 0

Reorder the terms:
(12 + 6x)(-4 + 2x)(x + -9) = 0

Reorder the terms:
(12 + 6x)(-4 + 2x)(-9 + x) = 0

Multiply (12 + 6x) * (-4 + 2x)
(12(-4 + 2x) + 6x * (-4 + 2x))(-9 + x) = 0
((-4 * 12 + 2x * 12) + 6x * (-4 + 2x))(-9 + x) = 0
((-48 + 24x) + 6x * (-4 + 2x))(-9 + x) = 0
(-48 + 24x + (-4 * 6x + 2x * 6x))(-9 + x) = 0
(-48 + 24x + (-24x + 12x2))(-9 + x) = 0

Combine like terms: 24x + -24x = 0
(-48 + 0 + 12x2)(-9 + x) = 0
(-48 + 12x2)(-9 + x) = 0

Multiply (-48 + 12x2) * (-9 + x)
(-48(-9 + x) + 12x2 * (-9 + x)) = 0
((-9 * -48 + x * -48) + 12x2 * (-9 + x)) = 0
((432 + -48x) + 12x2 * (-9 + x)) = 0
(432 + -48x + (-9 * 12x2 + x * 12x2)) = 0
(432 + -48x + (-108x2 + 12x3)) = 0
(432 + -48x + -108x2 + 12x3) = 0

Solving
432 + -48x + -108x2 + 12x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '12'.
12(36 + -4x + -9x2 + x3) = 0

Ignore the factor 12.

Subproblem 1

Set the factor '(36 + -4x + -9x2 + x3)' equal to zero and attempt to solve: Simplifying 36 + -4x + -9x2 + x3 = 0 Solving 36 + -4x + -9x2 + 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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