G(x)=(x^2-3x)(x+2)

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Solution for G(x)=(x^2-3x)(x+2) equation: 


Simplifying
G(x) = (x2 + -3x)(x + 2)

Multiply G * x
xG = (x2 + -3x)(x + 2)

Reorder the terms:
xG = (-3x + x2)(x + 2)

Reorder the terms:
xG = (-3x + x2)(2 + x)

Multiply (-3x + x2) * (2 + x)
xG = (-3x * (2 + x) + x2(2 + x))
xG = ((2 * -3x + x * -3x) + x2(2 + x))
xG = ((-6x + -3x2) + x2(2 + x))
xG = (-6x + -3x2 + (2 * x2 + x * x2))
xG = (-6x + -3x2 + (2x2 + x3))

Combine like terms: -3x2 + 2x2 = -1x2
xG = (-6x + -1x2 + x3)

Solving
xG = -6x + -1x2 + x3

Solving for variable 'x'.

Reorder the terms:
6x + xG + x2 + -1x3 = -6x + -1x2 + x3 + 6x + x2 + -1x3

Reorder the terms:
6x + xG + x2 + -1x3 = -6x + 6x + -1x2 + x2 + x3 + -1x3

Combine like terms: -6x + 6x = 0
6x + xG + x2 + -1x3 = 0 + -1x2 + x2 + x3 + -1x3
6x + xG + x2 + -1x3 = -1x2 + x2 + x3 + -1x3

Combine like terms: -1x2 + x2 = 0
6x + xG + x2 + -1x3 = 0 + x3 + -1x3
6x + xG + x2 + -1x3 = x3 + -1x3

Combine like terms: x3 + -1x3 = 0
6x + xG + x2 + -1x3 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(6 + G + x + -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 '(6 + G + x + -1x2)' equal to zero and attempt to solve:

Simplifying
6 + G + x + -1x2 = 0

Solving
6 + G + x + -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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