(7-x)(32+16x)(4x-8)=0

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Solution for (7-x)(32+16x)(4x-8)=0 equation: 


Simplifying
(7 + -1x)(32 + 16x)(4x + -8) = 0

Reorder the terms:
(7 + -1x)(32 + 16x)(-8 + 4x) = 0

Multiply (7 + -1x) * (32 + 16x)
(7(32 + 16x) + -1x * (32 + 16x))(-8 + 4x) = 0
((32 * 7 + 16x * 7) + -1x * (32 + 16x))(-8 + 4x) = 0
((224 + 112x) + -1x * (32 + 16x))(-8 + 4x) = 0
(224 + 112x + (32 * -1x + 16x * -1x))(-8 + 4x) = 0
(224 + 112x + (-32x + -16x2))(-8 + 4x) = 0

Combine like terms: 112x + -32x = 80x
(224 + 80x + -16x2)(-8 + 4x) = 0

Multiply (224 + 80x + -16x2) * (-8 + 4x)
(224(-8 + 4x) + 80x * (-8 + 4x) + -16x2 * (-8 + 4x)) = 0
((-8 * 224 + 4x * 224) + 80x * (-8 + 4x) + -16x2 * (-8 + 4x)) = 0
((-1792 + 896x) + 80x * (-8 + 4x) + -16x2 * (-8 + 4x)) = 0
(-1792 + 896x + (-8 * 80x + 4x * 80x) + -16x2 * (-8 + 4x)) = 0
(-1792 + 896x + (-640x + 320x2) + -16x2 * (-8 + 4x)) = 0
(-1792 + 896x + -640x + 320x2 + (-8 * -16x2 + 4x * -16x2)) = 0
(-1792 + 896x + -640x + 320x2 + (128x2 + -64x3)) = 0

Combine like terms: 896x + -640x = 256x
(-1792 + 256x + 320x2 + 128x2 + -64x3) = 0

Combine like terms: 320x2 + 128x2 = 448x2
(-1792 + 256x + 448x2 + -64x3) = 0

Solving
-1792 + 256x + 448x2 + -64x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '64'.
64(-28 + 4x + 7x2 + -1x3) = 0

Ignore the factor 64.

Subproblem 1
Set the factor '(-28 + 4x + 7x2 + -1x3)' equal to zero and attempt to solve:

Simplifying
-28 + 4x + 7x2 + -1x3 = 0

Solving
-28 + 4x + 7x2 + -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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