x^8+5x^12=8x^5+10x

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Solution for x^8+5x^12=8x^5+10x equation: 


Simplifying
x8 + 5x12 = 8x5 + 10x

Reorder the terms:
x8 + 5x12 = 10x + 8x5

Solving
x8 + 5x12 = 10x + 8x5

Solving for variable 'x'.

Reorder the terms:
-10x + -8x5 + x8 + 5x12 = 10x + 8x5 + -10x + -8x5

Reorder the terms:
-10x + -8x5 + x8 + 5x12 = 10x + -10x + 8x5 + -8x5

Combine like terms: 10x + -10x = 0
-10x + -8x5 + x8 + 5x12 = 0 + 8x5 + -8x5
-10x + -8x5 + x8 + 5x12 = 8x5 + -8x5

Combine like terms: 8x5 + -8x5 = 0
-10x + -8x5 + x8 + 5x12 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-10 + -8x4 + x7 + 5x11) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(-10 + -8x4 + x7 + 5x11)' equal to zero and attempt to solve:

Simplifying
-10 + -8x4 + x7 + 5x11 = 0

Solving
-10 + -8x4 + x7 + 5x11 = 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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