9x^5-64x=0

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Solution for 9x^5-64x=0 equation: 


Simplifying
9x5 + -64x = 0

Reorder the terms:
-64x + 9x5 = 0

Solving
-64x + 9x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-64 + 9x4) = 0

Factor a difference between two squares.
x((8 + 3x2)(-8 + 3x2)) = 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 '(8 + 3x2)' equal to zero and attempt to solve:

Simplifying
8 + 3x2 = 0

Solving
8 + 3x2 = 0

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

Add '-8' to each side of the equation.
8 + -8 + 3x2 = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 3x2 = 0 + -8
3x2 = 0 + -8

Combine like terms: 0 + -8 = -8
3x2 = -8

Divide each side by '3'.
x2 = -2.666666667

Simplifying
x2 = -2.666666667

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 3
Set the factor '(-8 + 3x2)' equal to zero and attempt to solve:

Simplifying
-8 + 3x2 = 0

Solving
-8 + 3x2 = 0

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

Add '8' to each side of the equation.
-8 + 8 + 3x2 = 0 + 8

Combine like terms: -8 + 8 = 0
0 + 3x2 = 0 + 8
3x2 = 0 + 8

Combine like terms: 0 + 8 = 8
3x2 = 8

Divide each side by '3'.
x2 = 2.666666667

Simplifying
x2 = 2.666666667

Take the square root of each side:
x = {-1.632993162, 1.632993162}
Solution
x = {0, -1.632993162, 1.632993162}

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