F(x)=-4x^3+28x^2-48x

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Solution for F(x)=-4x^3+28x^2-48x equation: 


Simplifying
F(x) = -4x3 + 28x2 + -48x

Multiply F * x
xF = -4x3 + 28x2 + -48x

Reorder the terms:
xF = -48x + 28x2 + -4x3

Solving
xF = -48x + 28x2 + -4x3

Solving for variable 'x'.

Reorder the terms:
48x + xF + -28x2 + 4x3 = -48x + 28x2 + -4x3 + 48x + -28x2 + 4x3

Reorder the terms:
48x + xF + -28x2 + 4x3 = -48x + 48x + 28x2 + -28x2 + -4x3 + 4x3

Combine like terms: -48x + 48x = 0
48x + xF + -28x2 + 4x3 = 0 + 28x2 + -28x2 + -4x3 + 4x3
48x + xF + -28x2 + 4x3 = 28x2 + -28x2 + -4x3 + 4x3

Combine like terms: 28x2 + -28x2 = 0
48x + xF + -28x2 + 4x3 = 0 + -4x3 + 4x3
48x + xF + -28x2 + 4x3 = -4x3 + 4x3

Combine like terms: -4x3 + 4x3 = 0
48x + xF + -28x2 + 4x3 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(48 + F + -28x + 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 '(48 + F + -28x + 4x2)' equal to zero and attempt to solve:

Simplifying
48 + F + -28x + 4x2 = 0

Solving
48 + F + -28x + 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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