0=x^4-6x^3-x^2+20x

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Solution for 0=x^4-6x^3-x^2+20x equation: 


Simplifying
0 = x4 + -6x3 + -1x2 + 20x

Reorder the terms:
0 = 20x + -1x2 + -6x3 + x4

Solving
0 = 20x + -1x2 + -6x3 + x4

Solving for variable 'x'.
Remove the zero:
-20x + x2 + 6x3 + -1x4 = 20x + -1x2 + -6x3 + x4 + -20x + x2 + 6x3 + -1x4

Reorder the terms:
-20x + x2 + 6x3 + -1x4 = 20x + -20x + -1x2 + x2 + -6x3 + 6x3 + x4 + -1x4

Combine like terms: 20x + -20x = 0
-20x + x2 + 6x3 + -1x4 = 0 + -1x2 + x2 + -6x3 + 6x3 + x4 + -1x4
-20x + x2 + 6x3 + -1x4 = -1x2 + x2 + -6x3 + 6x3 + x4 + -1x4

Combine like terms: -1x2 + x2 = 0
-20x + x2 + 6x3 + -1x4 = 0 + -6x3 + 6x3 + x4 + -1x4
-20x + x2 + 6x3 + -1x4 = -6x3 + 6x3 + x4 + -1x4

Combine like terms: -6x3 + 6x3 = 0
-20x + x2 + 6x3 + -1x4 = 0 + x4 + -1x4
-20x + x2 + 6x3 + -1x4 = x4 + -1x4

Combine like terms: x4 + -1x4 = 0
-20x + x2 + 6x3 + -1x4 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-20 + x + 6x2 + -1x3) = 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 '(-20 + x + 6x2 + -1x3)' equal to zero and attempt to solve:

Simplifying
-20 + x + 6x2 + -1x3 = 0

Solving
-20 + x + 6x2 + -1x3 = 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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