F(x)=3x(x-4)(x+9)

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Solution for F(x)=3x(x-4)(x+9) equation: 


Simplifying
F(x) = 3x(x + -4)(x + 9)

Multiply F * x
xF = 3x(x + -4)(x + 9)

Reorder the terms:
xF = 3x(-4 + x)(x + 9)

Reorder the terms:
xF = 3x(-4 + x)(9 + x)

Multiply (-4 + x) * (9 + x)
xF = 3x(-4(9 + x) + x(9 + x))
xF = 3x((9 * -4 + x * -4) + x(9 + x))
xF = 3x((-36 + -4x) + x(9 + x))
xF = 3x(-36 + -4x + (9 * x + x * x))
xF = 3x(-36 + -4x + (9x + x2))

Combine like terms: -4x + 9x = 5x
xF = 3x(-36 + 5x + x2)
xF = (-36 * 3x + 5x * 3x + x2 * 3x)
xF = (-108x + 15x2 + 3x3)

Solving
xF = -108x + 15x2 + 3x3

Solving for variable 'x'.

Reorder the terms:
108x + xF + -15x2 + -3x3 = -108x + 15x2 + 3x3 + 108x + -15x2 + -3x3

Reorder the terms:
108x + xF + -15x2 + -3x3 = -108x + 108x + 15x2 + -15x2 + 3x3 + -3x3

Combine like terms: -108x + 108x = 0
108x + xF + -15x2 + -3x3 = 0 + 15x2 + -15x2 + 3x3 + -3x3
108x + xF + -15x2 + -3x3 = 15x2 + -15x2 + 3x3 + -3x3

Combine like terms: 15x2 + -15x2 = 0
108x + xF + -15x2 + -3x3 = 0 + 3x3 + -3x3
108x + xF + -15x2 + -3x3 = 3x3 + -3x3

Combine like terms: 3x3 + -3x3 = 0
108x + xF + -15x2 + -3x3 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(108 + F + -15x + -3x2) = 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 '(108 + F + -15x + -3x2)' equal to zero and attempt to solve:

Simplifying
108 + F + -15x + -3x2 = 0

Solving
108 + F + -15x + -3x2 = 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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