6x^5(3x^4-3x^2+7)=x

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Solution for 6x^5(3x^4-3x^2+7)=x equation: 


Simplifying
6x5(3x4 + -3x2 + 7) = x

Reorder the terms:
6x5(7 + -3x2 + 3x4) = x
(7 * 6x5 + -3x2 * 6x5 + 3x4 * 6x5) = x
(42x5 + -18x7 + 18x9) = x

Solving
42x5 + -18x7 + 18x9 = x

Solving for variable 'x'.

Reorder the terms:
-1x + 42x5 + -18x7 + 18x9 = x + -1x

Combine like terms: x + -1x = 0
-1x + 42x5 + -18x7 + 18x9 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-1 + 42x4 + -18x6 + 18x8) = 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 '(-1 + 42x4 + -18x6 + 18x8)' equal to zero and attempt to solve:

Simplifying
-1 + 42x4 + -18x6 + 18x8 = 0

Solving
-1 + 42x4 + -18x6 + 18x8 = 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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