2x(x+4)(x^2+16)=0

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Solution for 2x(x+4)(x^2+16)=0 equation: 


Simplifying
2x(x + 4)(x2 + 16) = 0

Reorder the terms:
2x(4 + x)(x2 + 16) = 0

Reorder the terms:
2x(4 + x)(16 + x2) = 0

Multiply (4 + x) * (16 + x2)
2x(4(16 + x2) + x(16 + x2)) = 0
2x((16 * 4 + x2 * 4) + x(16 + x2)) = 0
2x((64 + 4x2) + x(16 + x2)) = 0
2x(64 + 4x2 + (16 * x + x2 * x)) = 0
2x(64 + 4x2 + (16x + x3)) = 0

Reorder the terms:
2x(64 + 16x + 4x2 + x3) = 0
2x(64 + 16x + 4x2 + x3) = 0
(64 * 2x + 16x * 2x + 4x2 * 2x + x3 * 2x) = 0
(128x + 32x2 + 8x3 + 2x4) = 0

Solving
128x + 32x2 + 8x3 + 2x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(64 + 16x + 4x2 + x3) = 0

Ignore the factor 2.

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 + 4x2 + x3)' equal to zero and attempt to solve:

Simplifying
64 + 16x + 4x2 + x3 = 0

Solving
64 + 16x + 4x2 + x3 = 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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