x=x^4-4x^3-3x^2+12x

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Solution for x=x^4-4x^3-3x^2+12x equation: 


Simplifying
x = x4 + -4x3 + -3x2 + 12x

Reorder the terms:
x = 12x + -3x2 + -4x3 + x4

Solving
x = 12x + -3x2 + -4x3 + x4

Solving for variable 'x'.

Combine like terms: x + -12x = -11x
-11x + 3x2 + 4x3 + -1x4 = 12x + -3x2 + -4x3 + x4 + -12x + 3x2 + 4x3 + -1x4

Reorder the terms:
-11x + 3x2 + 4x3 + -1x4 = 12x + -12x + -3x2 + 3x2 + -4x3 + 4x3 + x4 + -1x4

Combine like terms: 12x + -12x = 0
-11x + 3x2 + 4x3 + -1x4 = 0 + -3x2 + 3x2 + -4x3 + 4x3 + x4 + -1x4
-11x + 3x2 + 4x3 + -1x4 = -3x2 + 3x2 + -4x3 + 4x3 + x4 + -1x4

Combine like terms: -3x2 + 3x2 = 0
-11x + 3x2 + 4x3 + -1x4 = 0 + -4x3 + 4x3 + x4 + -1x4
-11x + 3x2 + 4x3 + -1x4 = -4x3 + 4x3 + x4 + -1x4

Combine like terms: -4x3 + 4x3 = 0
-11x + 3x2 + 4x3 + -1x4 = 0 + x4 + -1x4
-11x + 3x2 + 4x3 + -1x4 = x4 + -1x4

Combine like terms: x4 + -1x4 = 0
-11x + 3x2 + 4x3 + -1x4 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-11 + 3x + 4x2 + -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 '(-11 + 3x + 4x2 + -1x3)' equal to zero and attempt to solve:

Simplifying
-11 + 3x + 4x2 + -1x3 = 0

Solving
-11 + 3x + 4x2 + -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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