(x+8)(2x+4)(3x-6)=0

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Solution for (x+8)(2x+4)(3x-6)=0 equation:


Simplifying
(x + 8)(2x + 4)(3x + -6) = 0

Reorder the terms:
(8 + x)(2x + 4)(3x + -6) = 0

Reorder the terms:
(8 + x)(4 + 2x)(3x + -6) = 0

Reorder the terms:
(8 + x)(4 + 2x)(-6 + 3x) = 0

Multiply (8 + x) * (4 + 2x)
(8(4 + 2x) + x(4 + 2x))(-6 + 3x) = 0
((4 * 8 + 2x * 8) + x(4 + 2x))(-6 + 3x) = 0
((32 + 16x) + x(4 + 2x))(-6 + 3x) = 0
(32 + 16x + (4 * x + 2x * x))(-6 + 3x) = 0
(32 + 16x + (4x + 2x2))(-6 + 3x) = 0

Combine like terms: 16x + 4x = 20x
(32 + 20x + 2x2)(-6 + 3x) = 0

Multiply (32 + 20x + 2x2) * (-6 + 3x)
(32(-6 + 3x) + 20x * (-6 + 3x) + 2x2 * (-6 + 3x)) = 0
((-6 * 32 + 3x * 32) + 20x * (-6 + 3x) + 2x2 * (-6 + 3x)) = 0
((-192 + 96x) + 20x * (-6 + 3x) + 2x2 * (-6 + 3x)) = 0
(-192 + 96x + (-6 * 20x + 3x * 20x) + 2x2 * (-6 + 3x)) = 0
(-192 + 96x + (-120x + 60x2) + 2x2 * (-6 + 3x)) = 0
(-192 + 96x + -120x + 60x2 + (-6 * 2x2 + 3x * 2x2)) = 0
(-192 + 96x + -120x + 60x2 + (-12x2 + 6x3)) = 0

Combine like terms: 96x + -120x = -24x
(-192 + -24x + 60x2 + -12x2 + 6x3) = 0

Combine like terms: 60x2 + -12x2 = 48x2
(-192 + -24x + 48x2 + 6x3) = 0

Solving
-192 + -24x + 48x2 + 6x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6'.
6(-32 + -4x + 8x2 + x3) = 0

Ignore the factor 6.

Subproblem 1
Set the factor '(-32 + -4x + 8x2 + x3)' equal to zero and attempt to solve:

Simplifying
-32 + -4x + 8x2 + x3 = 0

Solving
-32 + -4x + 8x2 + 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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