x^4-2x^3-13x^2=10x

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Solution for x^4-2x^3-13x^2=10x equation: 


Simplifying
x4 + -2x3 + -13x2 = 10x

Reorder the terms:
-13x2 + -2x3 + x4 = 10x

Solving
-13x2 + -2x3 + x4 = 10x

Solving for variable 'x'.

Reorder the terms:
-10x + -13x2 + -2x3 + x4 = 10x + -10x

Combine like terms: 10x + -10x = 0
-10x + -13x2 + -2x3 + x4 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-10 + -13x + -2x2 + x3) = 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 + -13x + -2x2 + x3)' equal to zero and attempt to solve:

Simplifying
-10 + -13x + -2x2 + x3 = 0

Solving
-10 + -13x + -2x2 + 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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