(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)
x5 + (9x3) = (x4) + (9x2)

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