(16x^5-x)(4x^2-9)=0

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Solution for (16x^5-x)(4x^2-9)=0 equation: 


Simplifying
(16x5 + -1x)(4x2 + -9) = 0

Reorder the terms:
(-1x + 16x5)(4x2 + -9) = 0

Reorder the terms:
(-1x + 16x5)(-9 + 4x2) = 0

Multiply (-1x + 16x5) * (-9 + 4x2)
(-1x * (-9 + 4x2) + 16x5 * (-9 + 4x2)) = 0
((-9 * -1x + 4x2 * -1x) + 16x5 * (-9 + 4x2)) = 0
((9x + -4x3) + 16x5 * (-9 + 4x2)) = 0
(9x + -4x3 + (-9 * 16x5 + 4x2 * 16x5)) = 0
(9x + -4x3 + (-144x5 + 64x7)) = 0
(9x + -4x3 + -144x5 + 64x7) = 0

Solving
9x + -4x3 + -144x5 + 64x7 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(9 + -4x2 + -144x4 + 64x6) = 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 '(9 + -4x2 + -144x4 + 64x6)' equal to zero and attempt to solve:

Simplifying
9 + -4x2 + -144x4 + 64x6 = 0

Solving
9 + -4x2 + -144x4 + 64x6 = 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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