(x-4)(2x+1)(2x+8)=0

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Solution for (x-4)(2x+1)(2x+8)=0 equation: 


Simplifying
(x + -4)(2x + 1)(2x + 8) = 0

Reorder the terms:
(-4 + x)(2x + 1)(2x + 8) = 0

Reorder the terms:
(-4 + x)(1 + 2x)(2x + 8) = 0

Reorder the terms:
(-4 + x)(1 + 2x)(8 + 2x) = 0

Multiply (-4 + x) * (1 + 2x)
(-4(1 + 2x) + x(1 + 2x))(8 + 2x) = 0
((1 * -4 + 2x * -4) + x(1 + 2x))(8 + 2x) = 0
((-4 + -8x) + x(1 + 2x))(8 + 2x) = 0
(-4 + -8x + (1 * x + 2x * x))(8 + 2x) = 0
(-4 + -8x + (1x + 2x2))(8 + 2x) = 0

Combine like terms: -8x + 1x = -7x
(-4 + -7x + 2x2)(8 + 2x) = 0

Multiply (-4 + -7x + 2x2) * (8 + 2x)
(-4(8 + 2x) + -7x * (8 + 2x) + 2x2 * (8 + 2x)) = 0
((8 * -4 + 2x * -4) + -7x * (8 + 2x) + 2x2 * (8 + 2x)) = 0
((-32 + -8x) + -7x * (8 + 2x) + 2x2 * (8 + 2x)) = 0
(-32 + -8x + (8 * -7x + 2x * -7x) + 2x2 * (8 + 2x)) = 0
(-32 + -8x + (-56x + -14x2) + 2x2 * (8 + 2x)) = 0
(-32 + -8x + -56x + -14x2 + (8 * 2x2 + 2x * 2x2)) = 0
(-32 + -8x + -56x + -14x2 + (16x2 + 4x3)) = 0

Combine like terms: -8x + -56x = -64x
(-32 + -64x + -14x2 + 16x2 + 4x3) = 0

Combine like terms: -14x2 + 16x2 = 2x2
(-32 + -64x + 2x2 + 4x3) = 0

Solving
-32 + -64x + 2x2 + 4x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-16 + -32x + x2 + 2x3) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-16 + -32x + x2 + 2x3)' equal to zero and attempt to solve:

Simplifying
-16 + -32x + x2 + 2x3 = 0

Solving
-16 + -32x + x2 + 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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