(6x-6)(x+7)(2x-8)=0

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Solution for (6x-6)(x+7)(2x-8)=0 equation: 


Simplifying
(6x + -6)(x + 7)(2x + -8) = 0

Reorder the terms:
(-6 + 6x)(x + 7)(2x + -8) = 0

Reorder the terms:
(-6 + 6x)(7 + x)(2x + -8) = 0

Reorder the terms:
(-6 + 6x)(7 + x)(-8 + 2x) = 0

Multiply (-6 + 6x) * (7 + x)
(-6(7 + x) + 6x * (7 + x))(-8 + 2x) = 0
((7 * -6 + x * -6) + 6x * (7 + x))(-8 + 2x) = 0
((-42 + -6x) + 6x * (7 + x))(-8 + 2x) = 0
(-42 + -6x + (7 * 6x + x * 6x))(-8 + 2x) = 0
(-42 + -6x + (42x + 6x2))(-8 + 2x) = 0

Combine like terms: -6x + 42x = 36x
(-42 + 36x + 6x2)(-8 + 2x) = 0

Multiply (-42 + 36x + 6x2) * (-8 + 2x)
(-42(-8 + 2x) + 36x * (-8 + 2x) + 6x2 * (-8 + 2x)) = 0
((-8 * -42 + 2x * -42) + 36x * (-8 + 2x) + 6x2 * (-8 + 2x)) = 0
((336 + -84x) + 36x * (-8 + 2x) + 6x2 * (-8 + 2x)) = 0
(336 + -84x + (-8 * 36x + 2x * 36x) + 6x2 * (-8 + 2x)) = 0
(336 + -84x + (-288x + 72x2) + 6x2 * (-8 + 2x)) = 0
(336 + -84x + -288x + 72x2 + (-8 * 6x2 + 2x * 6x2)) = 0
(336 + -84x + -288x + 72x2 + (-48x2 + 12x3)) = 0

Combine like terms: -84x + -288x = -372x
(336 + -372x + 72x2 + -48x2 + 12x3) = 0

Combine like terms: 72x2 + -48x2 = 24x2
(336 + -372x + 24x2 + 12x3) = 0

Solving
336 + -372x + 24x2 + 12x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '12'.
12(28 + -31x + 2x2 + x3) = 0

Ignore the factor 12.

Subproblem 1
Set the factor '(28 + -31x + 2x2 + x3)' equal to zero and attempt to solve:

Simplifying
28 + -31x + 2x2 + x3 = 0

Solving
28 + -31x + 2x2 + 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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