G(3b)=3b^2-2(3b)

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

Simplifying
G(3b) = 3b2 + -2(3b)

Remove parenthesis around (3b)
G * 3b = 3b2 + -2(3b)

Reorder the terms for easier multiplication:
3G * b = 3b2 + -2(3b)

Multiply G * b
3bG = 3b2 + -2(3b)

Remove parenthesis around (3b)
3bG = 3b2 + -2 * 3b

Multiply -2 * 3
3bG = 3b2 + -6b

Reorder the terms:
3bG = -6b + 3b2

Solving
3bG = -6b + 3b2

Solving for variable 'b'.

Reorder the terms:
6b + 3bG + -3b2 = -6b + 3b2 + 6b + -3b2

Reorder the terms:
6b + 3bG + -3b2 = -6b + 6b + 3b2 + -3b2

Combine like terms: -6b + 6b = 0
6b + 3bG + -3b2 = 0 + 3b2 + -3b2
6b + 3bG + -3b2 = 3b2 + -3b2

Combine like terms: 3b2 + -3b2 = 0
6b + 3bG + -3b2 = 0

Factor out the Greatest Common Factor (GCF), '3b'.
3b(2 + G + -1b) = 0

Ignore the factor 3.
Subproblem 1
Set the factor 'b' equal to zero and attempt to solve:

Simplifying
b = 0

Solving
b = 0

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

Simplifying
b = 0
Subproblem 2
Set the factor '(2 + G + -1b)' equal to zero and attempt to solve:

Simplifying
2 + G + -1b = 0

Solving
2 + G + -1b = 0

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

Add '-2' to each side of the equation.
2 + G + -2 + -1b = 0 + -2

Reorder the terms:
2 + -2 + G + -1b = 0 + -2

Combine like terms: 2 + -2 = 0
0 + G + -1b = 0 + -2
G + -1b = 0 + -2

Combine like terms: 0 + -2 = -2
G + -1b = -2

Add '-1G' to each side of the equation.
G + -1G + -1b = -2 + -1G

Combine like terms: G + -1G = 0
0 + -1b = -2 + -1G
-1b = -2 + -1G

Divide each side by '-1'.
b = 2 + G

Simplifying
b = 2 + G
Solution
b = {0, 2 + G}