0=5x^5-2x^2

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


Simplifying
0 = 5x5 + -2x2

Reorder the terms:
0 = -2x2 + 5x5

Solving
0 = -2x2 + 5x5

Solving for variable 'x'.
Remove the zero:
2x2 + -5x5 = -2x2 + 5x5 + 2x2 + -5x5

Reorder the terms:
2x2 + -5x5 = -2x2 + 2x2 + 5x5 + -5x5

Combine like terms: -2x2 + 2x2 = 0
2x2 + -5x5 = 0 + 5x5 + -5x5
2x2 + -5x5 = 5x5 + -5x5

Combine like terms: 5x5 + -5x5 = 0
2x2 + -5x5 = 0

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(2 + -5x3) = 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 + -5x3)' equal to zero and attempt to solve:

Simplifying
2 + -5x3 = 0

Solving
2 + -5x3 = 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 + -5x3 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -5x3 = 0 + -2
-5x3 = 0 + -2

Combine like terms: 0 + -2 = -2
-5x3 = -2

Divide each side by '-5'.
x3 = 0.4

Simplifying
x3 = 0.4

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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