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

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


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

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

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

Multiply (-2 + x) * (-12 + 3x)
(-2(-12 + 3x) + x(-12 + 3x))(8 + -2x) = 0
((-12 * -2 + 3x * -2) + x(-12 + 3x))(8 + -2x) = 0
((24 + -6x) + x(-12 + 3x))(8 + -2x) = 0
(24 + -6x + (-12 * x + 3x * x))(8 + -2x) = 0
(24 + -6x + (-12x + 3x2))(8 + -2x) = 0

Combine like terms: -6x + -12x = -18x
(24 + -18x + 3x2)(8 + -2x) = 0

Multiply (24 + -18x + 3x2) * (8 + -2x)
(24(8 + -2x) + -18x * (8 + -2x) + 3x2 * (8 + -2x)) = 0
((8 * 24 + -2x * 24) + -18x * (8 + -2x) + 3x2 * (8 + -2x)) = 0
((192 + -48x) + -18x * (8 + -2x) + 3x2 * (8 + -2x)) = 0
(192 + -48x + (8 * -18x + -2x * -18x) + 3x2 * (8 + -2x)) = 0
(192 + -48x + (-144x + 36x2) + 3x2 * (8 + -2x)) = 0
(192 + -48x + -144x + 36x2 + (8 * 3x2 + -2x * 3x2)) = 0
(192 + -48x + -144x + 36x2 + (24x2 + -6x3)) = 0

Combine like terms: -48x + -144x = -192x
(192 + -192x + 36x2 + 24x2 + -6x3) = 0

Combine like terms: 36x2 + 24x2 = 60x2
(192 + -192x + 60x2 + -6x3) = 0

Solving
192 + -192x + 60x2 + -6x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6'.
6(32 + -32x + 10x2 + -1x3) = 0

Ignore the factor 6.

Subproblem 1
Set the factor '(32 + -32x + 10x2 + -1x3)' equal to zero and attempt to solve:

Simplifying
32 + -32x + 10x2 + -1x3 = 0

Solving
32 + -32x + 10x2 + -1x3 = 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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