8x^18-5x+x^16=25x^3+3x^12-x

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Solution for 8x^18-5x+x^16=25x^3+3x^12-x equation: 


Simplifying
8x18 + -5x + x16 = 25x3 + 3x12 + -1x

Reorder the terms:
-5x + x16 + 8x18 = 25x3 + 3x12 + -1x

Reorder the terms:
-5x + x16 + 8x18 = -1x + 25x3 + 3x12

Solving
-5x + x16 + 8x18 = -1x + 25x3 + 3x12

Solving for variable 'x'.

Reorder the terms:
-5x + x + -25x3 + -3x12 + x16 + 8x18 = -1x + 25x3 + 3x12 + x + -25x3 + -3x12

Combine like terms: -5x + x = -4x
-4x + -25x3 + -3x12 + x16 + 8x18 = -1x + 25x3 + 3x12 + x + -25x3 + -3x12

Reorder the terms:
-4x + -25x3 + -3x12 + x16 + 8x18 = -1x + x + 25x3 + -25x3 + 3x12 + -3x12

Combine like terms: -1x + x = 0
-4x + -25x3 + -3x12 + x16 + 8x18 = 0 + 25x3 + -25x3 + 3x12 + -3x12
-4x + -25x3 + -3x12 + x16 + 8x18 = 25x3 + -25x3 + 3x12 + -3x12

Combine like terms: 25x3 + -25x3 = 0
-4x + -25x3 + -3x12 + x16 + 8x18 = 0 + 3x12 + -3x12
-4x + -25x3 + -3x12 + x16 + 8x18 = 3x12 + -3x12

Combine like terms: 3x12 + -3x12 = 0
-4x + -25x3 + -3x12 + x16 + 8x18 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-4 + -25x2 + -3x11 + x15 + 8x17) = 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 '(-4 + -25x2 + -3x11 + x15 + 8x17)' equal to zero and attempt to solve:

Simplifying
-4 + -25x2 + -3x11 + x15 + 8x17 = 0

Solving
-4 + -25x2 + -3x11 + x15 + 8x17 = 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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