F(x)=4x^3-12x^2-16x

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Solution for F(x)=4x^3-12x^2-16x equation:


Simplifying
F(x) = 4x3 + -12x2 + -16x

Multiply F * x
xF = 4x3 + -12x2 + -16x

Reorder the terms:
xF = -16x + -12x2 + 4x3

Solving
xF = -16x + -12x2 + 4x3

Solving for variable 'x'.

Reorder the terms:
16x + xF + 12x2 + -4x3 = -16x + -12x2 + 4x3 + 16x + 12x2 + -4x3

Reorder the terms:
16x + xF + 12x2 + -4x3 = -16x + 16x + -12x2 + 12x2 + 4x3 + -4x3

Combine like terms: -16x + 16x = 0
16x + xF + 12x2 + -4x3 = 0 + -12x2 + 12x2 + 4x3 + -4x3
16x + xF + 12x2 + -4x3 = -12x2 + 12x2 + 4x3 + -4x3

Combine like terms: -12x2 + 12x2 = 0
16x + xF + 12x2 + -4x3 = 0 + 4x3 + -4x3
16x + xF + 12x2 + -4x3 = 4x3 + -4x3

Combine like terms: 4x3 + -4x3 = 0
16x + xF + 12x2 + -4x3 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(16 + F + 12x + -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 '(16 + F + 12x + -4x2)' equal to zero and attempt to solve: Simplifying 16 + F + 12x + -4x2 = 0 Solving 16 + F + 12x + -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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