F(x)=4x^4-4x^3-16x^2+16x

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Solution for F(x)=4x^4-4x^3-16x^2+16x equation: 


Simplifying
F(x) = 4x4 + -4x3 + -16x2 + 16x

Multiply F * x
xF = 4x4 + -4x3 + -16x2 + 16x

Reorder the terms:
xF = 16x + -16x2 + -4x3 + 4x4

Solving
xF = 16x + -16x2 + -4x3 + 4x4

Solving for variable 'x'.

Reorder the terms:
-16x + xF + 16x2 + 4x3 + -4x4 = 16x + -16x2 + -4x3 + 4x4 + -16x + 16x2 + 4x3 + -4x4

Reorder the terms:
-16x + xF + 16x2 + 4x3 + -4x4 = 16x + -16x + -16x2 + 16x2 + -4x3 + 4x3 + 4x4 + -4x4

Combine like terms: 16x + -16x = 0
-16x + xF + 16x2 + 4x3 + -4x4 = 0 + -16x2 + 16x2 + -4x3 + 4x3 + 4x4 + -4x4
-16x + xF + 16x2 + 4x3 + -4x4 = -16x2 + 16x2 + -4x3 + 4x3 + 4x4 + -4x4

Combine like terms: -16x2 + 16x2 = 0
-16x + xF + 16x2 + 4x3 + -4x4 = 0 + -4x3 + 4x3 + 4x4 + -4x4
-16x + xF + 16x2 + 4x3 + -4x4 = -4x3 + 4x3 + 4x4 + -4x4

Combine like terms: -4x3 + 4x3 = 0
-16x + xF + 16x2 + 4x3 + -4x4 = 0 + 4x4 + -4x4
-16x + xF + 16x2 + 4x3 + -4x4 = 4x4 + -4x4

Combine like terms: 4x4 + -4x4 = 0
-16x + xF + 16x2 + 4x3 + -4x4 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-16 + F + 16x + 4x2 + -4x3) = 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 '(-16 + F + 16x + 4x2 + -4x3)' equal to zero and attempt to solve:

Simplifying
-16 + F + 16x + 4x2 + -4x3 = 0

Solving
-16 + F + 16x + 4x2 + -4x3 = 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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