(x^3-16x)(7x+14)=0

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Solution for (x^3-16x)(7x+14)=0 equation: 


Simplifying
(x3 + -16x)(7x + 14) = 0

Reorder the terms:
(-16x + x3)(7x + 14) = 0

Reorder the terms:
(-16x + x3)(14 + 7x) = 0

Multiply (-16x + x3) * (14 + 7x)
(-16x * (14 + 7x) + x3(14 + 7x)) = 0
((14 * -16x + 7x * -16x) + x3(14 + 7x)) = 0
((-224x + -112x2) + x3(14 + 7x)) = 0
(-224x + -112x2 + (14 * x3 + 7x * x3)) = 0
(-224x + -112x2 + (14x3 + 7x4)) = 0
(-224x + -112x2 + 14x3 + 7x4) = 0

Solving
-224x + -112x2 + 14x3 + 7x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '7x'.
7x(-32 + -16x + 2x2 + x3) = 0

Ignore the factor 7.

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 '(-32 + -16x + 2x2 + x3)' equal to zero and attempt to solve:

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

Solving
-32 + -16x + 2x2 + 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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