x^5-2x^2=0

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


Simplifying
x5 + -2x2 = 0

Reorder the terms:
-2x2 + x5 = 0

Solving
-2x2 + x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(-2 + x3) = 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 '(-2 + x3)' equal to zero and attempt to solve:

Simplifying
-2 + x3 = 0

Solving
-2 + x3 = 0

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

Add '2' to each side of the equation.
-2 + 2 + x3 = 0 + 2

Combine like terms: -2 + 2 = 0
0 + x3 = 0 + 2
x3 = 0 + 2

Combine like terms: 0 + 2 = 2
x3 = 2

Simplifying
x3 = 2

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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