G(x)=3x(x-6)(x+4)

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Solution for G(x)=3x(x-6)(x+4) equation: 


Simplifying
G(x) = 3x(x + -6)(x + 4)

Multiply G * x
xG = 3x(x + -6)(x + 4)

Reorder the terms:
xG = 3x(-6 + x)(x + 4)

Reorder the terms:
xG = 3x(-6 + x)(4 + x)

Multiply (-6 + x) * (4 + x)
xG = 3x(-6(4 + x) + x(4 + x))
xG = 3x((4 * -6 + x * -6) + x(4 + x))
xG = 3x((-24 + -6x) + x(4 + x))
xG = 3x(-24 + -6x + (4 * x + x * x))
xG = 3x(-24 + -6x + (4x + x2))

Combine like terms: -6x + 4x = -2x
xG = 3x(-24 + -2x + x2)
xG = (-24 * 3x + -2x * 3x + x2 * 3x)
xG = (-72x + -6x2 + 3x3)

Solving
xG = -72x + -6x2 + 3x3

Solving for variable 'x'.

Reorder the terms:
72x + xG + 6x2 + -3x3 = -72x + -6x2 + 3x3 + 72x + 6x2 + -3x3

Reorder the terms:
72x + xG + 6x2 + -3x3 = -72x + 72x + -6x2 + 6x2 + 3x3 + -3x3

Combine like terms: -72x + 72x = 0
72x + xG + 6x2 + -3x3 = 0 + -6x2 + 6x2 + 3x3 + -3x3
72x + xG + 6x2 + -3x3 = -6x2 + 6x2 + 3x3 + -3x3

Combine like terms: -6x2 + 6x2 = 0
72x + xG + 6x2 + -3x3 = 0 + 3x3 + -3x3
72x + xG + 6x2 + -3x3 = 3x3 + -3x3

Combine like terms: 3x3 + -3x3 = 0
72x + xG + 6x2 + -3x3 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(72 + G + 6x + -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 '(72 + G + 6x + -3x2)' equal to zero and attempt to solve:

Simplifying
72 + G + 6x + -3x2 = 0

Solving
72 + G + 6x + -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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