(x-4)(x^5-8x^3+16x)=

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Solution for (x-4)(x^5-8x^3+16x)= equation: 


Simplifying
(x + -4)(x5 + -8x3 + 16x) = 0

Reorder the terms:
(-4 + x)(x5 + -8x3 + 16x) = 0

Reorder the terms:
(-4 + x)(16x + -8x3 + x5) = 0

Multiply (-4 + x) * (16x + -8x3 + x5)
(-4(16x + -8x3 + x5) + x(16x + -8x3 + x5)) = 0
((16x * -4 + -8x3 * -4 + x5 * -4) + x(16x + -8x3 + x5)) = 0
((-64x + 32x3 + -4x5) + x(16x + -8x3 + x5)) = 0
(-64x + 32x3 + -4x5 + (16x * x + -8x3 * x + x5 * x)) = 0
(-64x + 32x3 + -4x5 + (16x2 + -8x4 + x6)) = 0

Reorder the terms:
(-64x + 16x2 + 32x3 + -8x4 + -4x5 + x6) = 0
(-64x + 16x2 + 32x3 + -8x4 + -4x5 + x6) = 0

Solving
-64x + 16x2 + 32x3 + -8x4 + -4x5 + x6 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-64 + 16x + 32x2 + -8x3 + -4x4 + x5) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
x = 0

Subproblem 2
Set the factor '(-64 + 16x + 32x2 + -8x3 + -4x4 + x5)' equal to zero and attempt to solve:

Simplifying
-64 + 16x + 32x2 + -8x3 + -4x4 + x5 = 0

Solving
-64 + 16x + 32x2 + -8x3 + -4x4 + x5 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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