F(x)=8x^4-24x^3-424x^2-72x

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Solution for F(x)=8x^4-24x^3-424x^2-72x equation: 


Simplifying
F(x) = 8x4 + -24x3 + -424x2 + -72x

Multiply F * x
xF = 8x4 + -24x3 + -424x2 + -72x

Reorder the terms:
xF = -72x + -424x2 + -24x3 + 8x4

Solving
xF = -72x + -424x2 + -24x3 + 8x4

Solving for variable 'x'.

Reorder the terms:
72x + xF + 424x2 + 24x3 + -8x4 = -72x + -424x2 + -24x3 + 8x4 + 72x + 424x2 + 24x3 + -8x4

Reorder the terms:
72x + xF + 424x2 + 24x3 + -8x4 = -72x + 72x + -424x2 + 424x2 + -24x3 + 24x3 + 8x4 + -8x4

Combine like terms: -72x + 72x = 0
72x + xF + 424x2 + 24x3 + -8x4 = 0 + -424x2 + 424x2 + -24x3 + 24x3 + 8x4 + -8x4
72x + xF + 424x2 + 24x3 + -8x4 = -424x2 + 424x2 + -24x3 + 24x3 + 8x4 + -8x4

Combine like terms: -424x2 + 424x2 = 0
72x + xF + 424x2 + 24x3 + -8x4 = 0 + -24x3 + 24x3 + 8x4 + -8x4
72x + xF + 424x2 + 24x3 + -8x4 = -24x3 + 24x3 + 8x4 + -8x4

Combine like terms: -24x3 + 24x3 = 0
72x + xF + 424x2 + 24x3 + -8x4 = 0 + 8x4 + -8x4
72x + xF + 424x2 + 24x3 + -8x4 = 8x4 + -8x4

Combine like terms: 8x4 + -8x4 = 0
72x + xF + 424x2 + 24x3 + -8x4 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(72 + F + 424x + 24x2 + -8x3) = 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 '(72 + F + 424x + 24x2 + -8x3)' equal to zero and attempt to solve:

Simplifying
72 + F + 424x + 24x2 + -8x3 = 0

Solving
72 + F + 424x + 24x2 + -8x3 = 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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