(x^2+1)(x^3+2x)(x^2-64)=0

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Solution for (x^2+1)(x^3+2x)(x^2-64)=0 equation: 


Simplifying
(x2 + 1)(x3 + 2x)(x2 + -64) = 0

Reorder the terms:
(1 + x2)(x3 + 2x)(x2 + -64) = 0

Reorder the terms:
(1 + x2)(2x + x3)(x2 + -64) = 0

Reorder the terms:
(1 + x2)(2x + x3)(-64 + x2) = 0

Multiply (1 + x2) * (2x + x3)
(1(2x + x3) + x2(2x + x3))(-64 + x2) = 0
((2x * 1 + x3 * 1) + x2(2x + x3))(-64 + x2) = 0
((2x + 1x3) + x2(2x + x3))(-64 + x2) = 0
(2x + 1x3 + (2x * x2 + x3 * x2))(-64 + x2) = 0
(2x + 1x3 + (2x3 + x5))(-64 + x2) = 0

Combine like terms: 1x3 + 2x3 = 3x3
(2x + 3x3 + x5)(-64 + x2) = 0

Multiply (2x + 3x3 + x5) * (-64 + x2)
(2x * (-64 + x2) + 3x3 * (-64 + x2) + x5(-64 + x2)) = 0
((-64 * 2x + x2 * 2x) + 3x3 * (-64 + x2) + x5(-64 + x2)) = 0
((-128x + 2x3) + 3x3 * (-64 + x2) + x5(-64 + x2)) = 0
(-128x + 2x3 + (-64 * 3x3 + x2 * 3x3) + x5(-64 + x2)) = 0
(-128x + 2x3 + (-192x3 + 3x5) + x5(-64 + x2)) = 0
(-128x + 2x3 + -192x3 + 3x5 + (-64 * x5 + x2 * x5)) = 0
(-128x + 2x3 + -192x3 + 3x5 + (-64x5 + x7)) = 0

Combine like terms: 2x3 + -192x3 = -190x3
(-128x + -190x3 + 3x5 + -64x5 + x7) = 0

Combine like terms: 3x5 + -64x5 = -61x5
(-128x + -190x3 + -61x5 + x7) = 0

Solving
-128x + -190x3 + -61x5 + x7 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-128 + -190x2 + -61x4 + x6) = 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 '(-128 + -190x2 + -61x4 + x6)' equal to zero and attempt to solve:

Simplifying
-128 + -190x2 + -61x4 + x6 = 0

Solving
-128 + -190x2 + -61x4 + x6 = 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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