(x^4-8x^2+16)(x^2-5x)=0

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Solution for (x^4-8x^2+16)(x^2-5x)=0 equation: 


Simplifying
(x4 + -8x2 + 16)(x2 + -5x) = 0

Reorder the terms:
(16 + -8x2 + x4)(x2 + -5x) = 0

Reorder the terms:
(16 + -8x2 + x4)(-5x + x2) = 0

Multiply (16 + -8x2 + x4) * (-5x + x2)
(16(-5x + x2) + -8x2 * (-5x + x2) + x4(-5x + x2)) = 0
((-5x * 16 + x2 * 16) + -8x2 * (-5x + x2) + x4(-5x + x2)) = 0
((-80x + 16x2) + -8x2 * (-5x + x2) + x4(-5x + x2)) = 0
(-80x + 16x2 + (-5x * -8x2 + x2 * -8x2) + x4(-5x + x2)) = 0
(-80x + 16x2 + (40x3 + -8x4) + x4(-5x + x2)) = 0
(-80x + 16x2 + 40x3 + -8x4 + (-5x * x4 + x2 * x4)) = 0
(-80x + 16x2 + 40x3 + -8x4 + (-5x5 + x6)) = 0
(-80x + 16x2 + 40x3 + -8x4 + -5x5 + x6) = 0

Solving
-80x + 16x2 + 40x3 + -8x4 + -5x5 + x6 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-80 + 16x + 40x2 + -8x3 + -5x4 + 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 '(-80 + 16x + 40x2 + -8x3 + -5x4 + x5)' equal to zero and attempt to solve:

Simplifying
-80 + 16x + 40x2 + -8x3 + -5x4 + x5 = 0

Solving
-80 + 16x + 40x2 + -8x3 + -5x4 + 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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