5x^6-8x^2=0

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Solution for 5x^6-8x^2=0 equation: 


Simplifying
5x6 + -8x2 = 0

Reorder the terms:
-8x2 + 5x6 = 0

Solving
-8x2 + 5x6 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(-8 + 5x4) = 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 '(-8 + 5x4)' equal to zero and attempt to solve:

Simplifying
-8 + 5x4 = 0

Solving
-8 + 5x4 = 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 + 5x4 = 0 + 8

Combine like terms: -8 + 8 = 0
0 + 5x4 = 0 + 8
5x4 = 0 + 8

Combine like terms: 0 + 8 = 8
5x4 = 8

Divide each side by '5'.
x4 = 1.6

Simplifying
x4 = 1.6

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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