(3x+6)(2x-12)(x+8)=0

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Solution for (3x+6)(2x-12)(x+8)=0 equation: 


Simplifying
(3x + 6)(2x + -12)(x + 8) = 0

Reorder the terms:
(6 + 3x)(2x + -12)(x + 8) = 0

Reorder the terms:
(6 + 3x)(-12 + 2x)(x + 8) = 0

Reorder the terms:
(6 + 3x)(-12 + 2x)(8 + x) = 0

Multiply (6 + 3x) * (-12 + 2x)
(6(-12 + 2x) + 3x * (-12 + 2x))(8 + x) = 0
((-12 * 6 + 2x * 6) + 3x * (-12 + 2x))(8 + x) = 0
((-72 + 12x) + 3x * (-12 + 2x))(8 + x) = 0
(-72 + 12x + (-12 * 3x + 2x * 3x))(8 + x) = 0
(-72 + 12x + (-36x + 6x2))(8 + x) = 0

Combine like terms: 12x + -36x = -24x
(-72 + -24x + 6x2)(8 + x) = 0

Multiply (-72 + -24x + 6x2) * (8 + x)
(-72(8 + x) + -24x * (8 + x) + 6x2 * (8 + x)) = 0
((8 * -72 + x * -72) + -24x * (8 + x) + 6x2 * (8 + x)) = 0
((-576 + -72x) + -24x * (8 + x) + 6x2 * (8 + x)) = 0
(-576 + -72x + (8 * -24x + x * -24x) + 6x2 * (8 + x)) = 0
(-576 + -72x + (-192x + -24x2) + 6x2 * (8 + x)) = 0
(-576 + -72x + -192x + -24x2 + (8 * 6x2 + x * 6x2)) = 0
(-576 + -72x + -192x + -24x2 + (48x2 + 6x3)) = 0

Combine like terms: -72x + -192x = -264x
(-576 + -264x + -24x2 + 48x2 + 6x3) = 0

Combine like terms: -24x2 + 48x2 = 24x2
(-576 + -264x + 24x2 + 6x3) = 0

Solving
-576 + -264x + 24x2 + 6x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6'.
6(-96 + -44x + 4x2 + x3) = 0

Ignore the factor 6.

Subproblem 1
Set the factor '(-96 + -44x + 4x2 + x3)' equal to zero and attempt to solve:

Simplifying
-96 + -44x + 4x2 + x3 = 0

Solving
-96 + -44x + 4x2 + 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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