27x^4-18x^3-x=x

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Solution for 27x^4-18x^3-x=x equation:


Simplifying
27x4 + -18x3 + -1x = x

Reorder the terms:
-1x + -18x3 + 27x4 = x

Solving
-1x + -18x3 + 27x4 = x

Solving for variable 'x'.

Reorder the terms:
-1x + -1x + -18x3 + 27x4 = x + -1x

Combine like terms: -1x + -1x = -2x
-2x + -18x3 + 27x4 = x + -1x

Combine like terms: x + -1x = 0
-2x + -18x3 + 27x4 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-2 + -18x2 + 27x3) = 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 '(-2 + -18x2 + 27x3)' equal to zero and attempt to solve: Simplifying -2 + -18x2 + 27x3 = 0 Solving -2 + -18x2 + 27x3 = 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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