5x^6-4x=3x^2+6x

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Solution for 5x^6-4x=3x^2+6x equation: 


Simplifying
5x6 + -4x = 3x2 + 6x

Reorder the terms:
-4x + 5x6 = 3x2 + 6x

Reorder the terms:
-4x + 5x6 = 6x + 3x2

Solving
-4x + 5x6 = 6x + 3x2

Solving for variable 'x'.

Reorder the terms:
-4x + -6x + -3x2 + 5x6 = 6x + 3x2 + -6x + -3x2

Combine like terms: -4x + -6x = -10x
-10x + -3x2 + 5x6 = 6x + 3x2 + -6x + -3x2

Reorder the terms:
-10x + -3x2 + 5x6 = 6x + -6x + 3x2 + -3x2

Combine like terms: 6x + -6x = 0
-10x + -3x2 + 5x6 = 0 + 3x2 + -3x2
-10x + -3x2 + 5x6 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-10x + -3x2 + 5x6 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-10 + -3x + 5x5) = 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 + -3x + 5x5)' equal to zero and attempt to solve:

Simplifying
-10 + -3x + 5x5 = 0

Solving
-10 + -3x + 5x5 = 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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