(x+8)(3x+9)(2x-12)=0

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Solution for (x+8)(3x+9)(2x-12)=0 equation: 


Simplifying
(x + 8)(3x + 9)(2x + -12) = 0

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

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

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

Multiply (8 + x) * (9 + 3x)
(8(9 + 3x) + x(9 + 3x))(-12 + 2x) = 0
((9 * 8 + 3x * 8) + x(9 + 3x))(-12 + 2x) = 0
((72 + 24x) + x(9 + 3x))(-12 + 2x) = 0
(72 + 24x + (9 * x + 3x * x))(-12 + 2x) = 0
(72 + 24x + (9x + 3x2))(-12 + 2x) = 0

Combine like terms: 24x + 9x = 33x
(72 + 33x + 3x2)(-12 + 2x) = 0

Multiply (72 + 33x + 3x2) * (-12 + 2x)
(72(-12 + 2x) + 33x * (-12 + 2x) + 3x2 * (-12 + 2x)) = 0
((-12 * 72 + 2x * 72) + 33x * (-12 + 2x) + 3x2 * (-12 + 2x)) = 0
((-864 + 144x) + 33x * (-12 + 2x) + 3x2 * (-12 + 2x)) = 0
(-864 + 144x + (-12 * 33x + 2x * 33x) + 3x2 * (-12 + 2x)) = 0
(-864 + 144x + (-396x + 66x2) + 3x2 * (-12 + 2x)) = 0
(-864 + 144x + -396x + 66x2 + (-12 * 3x2 + 2x * 3x2)) = 0
(-864 + 144x + -396x + 66x2 + (-36x2 + 6x3)) = 0

Combine like terms: 144x + -396x = -252x
(-864 + -252x + 66x2 + -36x2 + 6x3) = 0

Combine like terms: 66x2 + -36x2 = 30x2
(-864 + -252x + 30x2 + 6x3) = 0

Solving
-864 + -252x + 30x2 + 6x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6'.
6(-144 + -42x + 5x2 + x3) = 0

Ignore the factor 6.

Subproblem 1
Set the factor '(-144 + -42x + 5x2 + x3)' equal to zero and attempt to solve:

Simplifying
-144 + -42x + 5x2 + x3 = 0

Solving
-144 + -42x + 5x2 + 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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