2x^4+6x^3-18x^2=54x

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Solution for 2x^4+6x^3-18x^2=54x equation: 


Simplifying
2x4 + 6x3 + -18x2 = 54x

Reorder the terms:
-18x2 + 6x3 + 2x4 = 54x

Solving
-18x2 + 6x3 + 2x4 = 54x

Solving for variable 'x'.

Reorder the terms:
-54x + -18x2 + 6x3 + 2x4 = 54x + -54x

Combine like terms: 54x + -54x = 0
-54x + -18x2 + 6x3 + 2x4 = 0

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-27 + -9x + 3x2 + x3) = 0

Ignore the factor 2.

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 '(-27 + -9x + 3x2 + x3)' equal to zero and attempt to solve:

Simplifying
-27 + -9x + 3x2 + x3 = 0

Solving
-27 + -9x + 3x2 + 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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