F(x)=2x^3(x-1)(x+5)

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Solution for F(x)=2x^3(x-1)(x+5) equation: 


Simplifying
F(x) = 2x3(x + -1)(x + 5)

Multiply F * x
xF = 2x3(x + -1)(x + 5)

Reorder the terms:
xF = 2x3(-1 + x)(x + 5)

Reorder the terms:
xF = 2x3(-1 + x)(5 + x)

Multiply (-1 + x) * (5 + x)
xF = 2x3(-1(5 + x) + x(5 + x))
xF = 2x3((5 * -1 + x * -1) + x(5 + x))
xF = 2x3((-5 + -1x) + x(5 + x))
xF = 2x3(-5 + -1x + (5 * x + x * x))
xF = 2x3(-5 + -1x + (5x + x2))

Combine like terms: -1x + 5x = 4x
xF = 2x3(-5 + 4x + x2)
xF = (-5 * 2x3 + 4x * 2x3 + x2 * 2x3)
xF = (-10x3 + 8x4 + 2x5)

Solving
xF = -10x3 + 8x4 + 2x5

Solving for variable 'x'.

Reorder the terms:
xF + 10x3 + -8x4 + -2x5 = -10x3 + 10x3 + 8x4 + -8x4 + 2x5 + -2x5

Combine like terms: -10x3 + 10x3 = 0
xF + 10x3 + -8x4 + -2x5 = 0 + 8x4 + -8x4 + 2x5 + -2x5
xF + 10x3 + -8x4 + -2x5 = 8x4 + -8x4 + 2x5 + -2x5

Combine like terms: 8x4 + -8x4 = 0
xF + 10x3 + -8x4 + -2x5 = 0 + 2x5 + -2x5
xF + 10x3 + -8x4 + -2x5 = 2x5 + -2x5

Combine like terms: 2x5 + -2x5 = 0
xF + 10x3 + -8x4 + -2x5 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(F + 10x2 + -8x3 + -2x4) = 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 '(F + 10x2 + -8x3 + -2x4)' equal to zero and attempt to solve:

Simplifying
F + 10x2 + -8x3 + -2x4 = 0

Solving
F + 10x2 + -8x3 + -2x4 = 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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