G(x)=x(3x-12x+8)

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Solution for G(x)=x(3x-12x+8) equation: 


Simplifying
G(x) = x(3x + -12x + 8)

Multiply G * x
xG = x(3x + -12x + 8)

Reorder the terms:
xG = x(8 + 3x + -12x)

Combine like terms: 3x + -12x = -9x
xG = x(8 + -9x)
xG = (8 * x + -9x * x)
xG = (8x + -9x2)

Solving
xG = 8x + -9x2

Solving for variable 'x'.

Reorder the terms:
-8x + xG + 9x2 = 8x + -9x2 + -8x + 9x2

Reorder the terms:
-8x + xG + 9x2 = 8x + -8x + -9x2 + 9x2

Combine like terms: 8x + -8x = 0
-8x + xG + 9x2 = 0 + -9x2 + 9x2
-8x + xG + 9x2 = -9x2 + 9x2

Combine like terms: -9x2 + 9x2 = 0
-8x + xG + 9x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-8 + G + 9x) = 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 '(-8 + G + 9x)' equal to zero and attempt to solve:

Simplifying
-8 + G + 9x = 0

Solving
-8 + G + 9x = 0

Move all terms containing x to the left, all other terms to the right.

Add '8' to each side of the equation.
-8 + G + 8 + 9x = 0 + 8

Reorder the terms:
-8 + 8 + G + 9x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + G + 9x = 0 + 8
G + 9x = 0 + 8

Combine like terms: 0 + 8 = 8
G + 9x = 8

Add '-1G' to each side of the equation.
G + -1G + 9x = 8 + -1G

Combine like terms: G + -1G = 0
0 + 9x = 8 + -1G
9x = 8 + -1G

Divide each side by '9'.
x = 0.8888888889 + -0.1111111111G

Simplifying
x = 0.8888888889 + -0.1111111111G
Solution
x = {0, 0.8888888889 + -0.1111111111G}

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