x^2=x^5+x^3

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Solution for x^2=x^5+x^3 equation: 


Simplifying
x2 = x5 + x3

Reorder the terms:
x2 = x3 + x5

Solving
x2 = x3 + x5

Solving for variable 'x'.

Reorder the terms:
x2 + -1x3 + -1x5 = x3 + -1x3 + x5 + -1x5

Combine like terms: x3 + -1x3 = 0
x2 + -1x3 + -1x5 = 0 + x5 + -1x5
x2 + -1x3 + -1x5 = x5 + -1x5

Combine like terms: x5 + -1x5 = 0
x2 + -1x3 + -1x5 = 0

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(1 + -1x + -1x3) = 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 '(1 + -1x + -1x3)' equal to zero and attempt to solve:

Simplifying
1 + -1x + -1x3 = 0

Solving
1 + -1x + -1x3 = 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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