F(x)=x^4+3x^3-x^2-3x

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Solution for F(x)=x^4+3x^3-x^2-3x equation: 


Simplifying
F(x) = x4 + 3x3 + -1x2 + -3x

Multiply F * x
xF = x4 + 3x3 + -1x2 + -3x

Reorder the terms:
xF = -3x + -1x2 + 3x3 + x4

Solving
xF = -3x + -1x2 + 3x3 + x4

Solving for variable 'x'.

Reorder the terms:
3x + xF + x2 + -3x3 + -1x4 = -3x + -1x2 + 3x3 + x4 + 3x + x2 + -3x3 + -1x4

Reorder the terms:
3x + xF + x2 + -3x3 + -1x4 = -3x + 3x + -1x2 + x2 + 3x3 + -3x3 + x4 + -1x4

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

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

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

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

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

Simplifying
3 + F + x + -3x2 + -1x3 = 0

Solving
3 + F + x + -3x2 + -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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