x^5+9x^3=x^4+9x^2

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Solution for x^5+9x^3=x^4+9x^2 equation: 


Simplifying
x5 + 9x3 = x4 + 9x2

Reorder the terms:
9x3 + x5 = x4 + 9x2

Reorder the terms:
9x3 + x5 = 9x2 + x4

Solving
9x3 + x5 = 9x2 + x4

Solving for variable 'x'.

Reorder the terms:
-9x2 + 9x3 + -1x4 + x5 = 9x2 + x4 + -9x2 + -1x4

Reorder the terms:
-9x2 + 9x3 + -1x4 + x5 = 9x2 + -9x2 + x4 + -1x4

Combine like terms: 9x2 + -9x2 = 0
-9x2 + 9x3 + -1x4 + x5 = 0 + x4 + -1x4
-9x2 + 9x3 + -1x4 + x5 = x4 + -1x4

Combine like terms: x4 + -1x4 = 0
-9x2 + 9x3 + -1x4 + x5 = 0

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(-9 + 9x + -1x2 + 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 '(-9 + 9x + -1x2 + x3)' equal to zero and attempt to solve:

Simplifying
-9 + 9x + -1x2 + x3 = 0

Solving
-9 + 9x + -1x2 + x3 = 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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