(x^3+8)(x^4-9x^2)=0

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Solution for (x^3+8)(x^4-9x^2)=0 equation: 


Simplifying
(x3 + 8)(x4 + -9x2) = 0

Reorder the terms:
(8 + x3)(x4 + -9x2) = 0

Reorder the terms:
(8 + x3)(-9x2 + x4) = 0

Multiply (8 + x3) * (-9x2 + x4)
(8(-9x2 + x4) + x3(-9x2 + x4)) = 0
((-9x2 * 8 + x4 * 8) + x3(-9x2 + x4)) = 0
((-72x2 + 8x4) + x3(-9x2 + x4)) = 0
(-72x2 + 8x4 + (-9x2 * x3 + x4 * x3)) = 0
(-72x2 + 8x4 + (-9x5 + x7)) = 0
(-72x2 + 8x4 + -9x5 + x7) = 0

Solving
-72x2 + 8x4 + -9x5 + x7 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(-72 + 8x2 + -9x3 + x5) = 0


Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

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

Simplifying
x2 = 0

Take the square root of each side:
x = {0}

Subproblem 2
Set the factor '(-72 + 8x2 + -9x3 + x5)' equal to zero and attempt to solve:

Simplifying
-72 + 8x2 + -9x3 + x5 = 0

Solving
-72 + 8x2 + -9x3 + 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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