F(x)=x^4-4x^3-12x^2

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Solution for F(x)=x^4-4x^3-12x^2 equation: 


Simplifying
F(x) = x4 + -4x3 + -12x2

Multiply F * x
xF = x4 + -4x3 + -12x2

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

Solving
xF = -12x2 + -4x3 + x4

Solving for variable 'x'.

Reorder the terms:
xF + 12x2 + 4x3 + -1x4 = -12x2 + 12x2 + -4x3 + 4x3 + x4 + -1x4

Combine like terms: -12x2 + 12x2 = 0
xF + 12x2 + 4x3 + -1x4 = 0 + -4x3 + 4x3 + x4 + -1x4
xF + 12x2 + 4x3 + -1x4 = -4x3 + 4x3 + x4 + -1x4

Combine like terms: -4x3 + 4x3 = 0
xF + 12x2 + 4x3 + -1x4 = 0 + x4 + -1x4
xF + 12x2 + 4x3 + -1x4 = x4 + -1x4

Combine like terms: x4 + -1x4 = 0
xF + 12x2 + 4x3 + -1x4 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(F + 12x + 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 '(F + 12x + 4x2 + -1x3)' equal to zero and attempt to solve:

Simplifying
F + 12x + 4x2 + -1x3 = 0

Solving
F + 12x + 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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