(2x-7)(x+8)(4x+8)=0

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Solution for (2x-7)(x+8)(4x+8)=0 equation: 


Simplifying
(2x + -7)(x + 8)(4x + 8) = 0

Reorder the terms:
(-7 + 2x)(x + 8)(4x + 8) = 0

Reorder the terms:
(-7 + 2x)(8 + x)(4x + 8) = 0

Reorder the terms:
(-7 + 2x)(8 + x)(8 + 4x) = 0

Multiply (-7 + 2x) * (8 + x)
(-7(8 + x) + 2x * (8 + x))(8 + 4x) = 0
((8 * -7 + x * -7) + 2x * (8 + x))(8 + 4x) = 0
((-56 + -7x) + 2x * (8 + x))(8 + 4x) = 0
(-56 + -7x + (8 * 2x + x * 2x))(8 + 4x) = 0
(-56 + -7x + (16x + 2x2))(8 + 4x) = 0

Combine like terms: -7x + 16x = 9x
(-56 + 9x + 2x2)(8 + 4x) = 0

Multiply (-56 + 9x + 2x2) * (8 + 4x)
(-56(8 + 4x) + 9x * (8 + 4x) + 2x2 * (8 + 4x)) = 0
((8 * -56 + 4x * -56) + 9x * (8 + 4x) + 2x2 * (8 + 4x)) = 0
((-448 + -224x) + 9x * (8 + 4x) + 2x2 * (8 + 4x)) = 0
(-448 + -224x + (8 * 9x + 4x * 9x) + 2x2 * (8 + 4x)) = 0
(-448 + -224x + (72x + 36x2) + 2x2 * (8 + 4x)) = 0
(-448 + -224x + 72x + 36x2 + (8 * 2x2 + 4x * 2x2)) = 0
(-448 + -224x + 72x + 36x2 + (16x2 + 8x3)) = 0

Combine like terms: -224x + 72x = -152x
(-448 + -152x + 36x2 + 16x2 + 8x3) = 0

Combine like terms: 36x2 + 16x2 = 52x2
(-448 + -152x + 52x2 + 8x3) = 0

Solving
-448 + -152x + 52x2 + 8x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-112 + -38x + 13x2 + 2x3) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-112 + -38x + 13x2 + 2x3)' equal to zero and attempt to solve:

Simplifying
-112 + -38x + 13x2 + 2x3 = 0

Solving
-112 + -38x + 13x2 + 2x3 = 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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