F(x)=x(x+4)(x-8)

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Solution for F(x)=x(x+4)(x-8) equation: 


Simplifying
F(x) = x(x + 4)(x + -8)

Multiply F * x
xF = x(x + 4)(x + -8)

Reorder the terms:
xF = x(4 + x)(x + -8)

Reorder the terms:
xF = x(4 + x)(-8 + x)

Multiply (4 + x) * (-8 + x)
xF = x(4(-8 + x) + x(-8 + x))
xF = x((-8 * 4 + x * 4) + x(-8 + x))
xF = x((-32 + 4x) + x(-8 + x))
xF = x(-32 + 4x + (-8 * x + x * x))
xF = x(-32 + 4x + (-8x + x2))

Combine like terms: 4x + -8x = -4x
xF = x(-32 + -4x + x2)
xF = (-32 * x + -4x * x + x2 * x)
xF = (-32x + -4x2 + x3)

Solving
xF = -32x + -4x2 + x3

Solving for variable 'x'.

Reorder the terms:
32x + xF + 4x2 + -1x3 = -32x + -4x2 + x3 + 32x + 4x2 + -1x3

Reorder the terms:
32x + xF + 4x2 + -1x3 = -32x + 32x + -4x2 + 4x2 + x3 + -1x3

Combine like terms: -32x + 32x = 0
32x + xF + 4x2 + -1x3 = 0 + -4x2 + 4x2 + x3 + -1x3
32x + xF + 4x2 + -1x3 = -4x2 + 4x2 + x3 + -1x3

Combine like terms: -4x2 + 4x2 = 0
32x + xF + 4x2 + -1x3 = 0 + x3 + -1x3
32x + xF + 4x2 + -1x3 = x3 + -1x3

Combine like terms: x3 + -1x3 = 0
32x + xF + 4x2 + -1x3 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(32 + F + 4x + -1x2) = 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 '(32 + F + 4x + -1x2)' equal to zero and attempt to solve:

Simplifying
32 + F + 4x + -1x2 = 0

Solving
32 + F + 4x + -1x2 = 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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