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

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


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

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

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

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

Multiply (-7 + 2x) * (8 + x)
(-7(8 + x) + 2x * (8 + x))(2 + 6x) = 0
((8 * -7 + x * -7) + 2x * (8 + x))(2 + 6x) = 0
((-56 + -7x) + 2x * (8 + x))(2 + 6x) = 0
(-56 + -7x + (8 * 2x + x * 2x))(2 + 6x) = 0
(-56 + -7x + (16x + 2x2))(2 + 6x) = 0

Combine like terms: -7x + 16x = 9x
(-56 + 9x + 2x2)(2 + 6x) = 0

Multiply (-56 + 9x + 2x2) * (2 + 6x)
(-56(2 + 6x) + 9x * (2 + 6x) + 2x2 * (2 + 6x)) = 0
((2 * -56 + 6x * -56) + 9x * (2 + 6x) + 2x2 * (2 + 6x)) = 0
((-112 + -336x) + 9x * (2 + 6x) + 2x2 * (2 + 6x)) = 0
(-112 + -336x + (2 * 9x + 6x * 9x) + 2x2 * (2 + 6x)) = 0
(-112 + -336x + (18x + 54x2) + 2x2 * (2 + 6x)) = 0
(-112 + -336x + 18x + 54x2 + (2 * 2x2 + 6x * 2x2)) = 0
(-112 + -336x + 18x + 54x2 + (4x2 + 12x3)) = 0

Combine like terms: -336x + 18x = -318x
(-112 + -318x + 54x2 + 4x2 + 12x3) = 0

Combine like terms: 54x2 + 4x2 = 58x2
(-112 + -318x + 58x2 + 12x3) = 0

Solving
-112 + -318x + 58x2 + 12x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-56 + -159x + 29x2 + 6x3) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-56 + -159x + 29x2 + 6x3)' equal to zero and attempt to solve:

Simplifying
-56 + -159x + 29x2 + 6x3 = 0

Solving
-56 + -159x + 29x2 + 6x3 = 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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