F(x)=4x^3-42x^2+108x

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Solution for F(x)=4x^3-42x^2+108x equation: 


Simplifying
F(x) = 4x3 + -42x2 + 108x

Multiply F * x
xF = 4x3 + -42x2 + 108x

Reorder the terms:
xF = 108x + -42x2 + 4x3

Solving
xF = 108x + -42x2 + 4x3

Solving for variable 'x'.

Reorder the terms:
-108x + xF + 42x2 + -4x3 = 108x + -42x2 + 4x3 + -108x + 42x2 + -4x3

Reorder the terms:
-108x + xF + 42x2 + -4x3 = 108x + -108x + -42x2 + 42x2 + 4x3 + -4x3

Combine like terms: 108x + -108x = 0
-108x + xF + 42x2 + -4x3 = 0 + -42x2 + 42x2 + 4x3 + -4x3
-108x + xF + 42x2 + -4x3 = -42x2 + 42x2 + 4x3 + -4x3

Combine like terms: -42x2 + 42x2 = 0
-108x + xF + 42x2 + -4x3 = 0 + 4x3 + -4x3
-108x + xF + 42x2 + -4x3 = 4x3 + -4x3

Combine like terms: 4x3 + -4x3 = 0
-108x + xF + 42x2 + -4x3 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-108 + F + 42x + -4x2) = 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 '(-108 + F + 42x + -4x2)' equal to zero and attempt to solve:

Simplifying
-108 + F + 42x + -4x2 = 0

Solving
-108 + F + 42x + -4x2 = 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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