(3g+2)(g+2)=

Solution for (3g+2)(g+2)= equation:

Simplifying
(3g + 2)(g + 2) = 0

Reorder the terms:
(2 + 3g)(g + 2) = 0

Reorder the terms:
(2 + 3g)(2 + g) = 0

Multiply (2 + 3g) * (2 + g)
(2(2 + g) + 3g * (2 + g)) = 0
((2 * 2 + g * 2) + 3g * (2 + g)) = 0
((4 + 2g) + 3g * (2 + g)) = 0
(4 + 2g + (2 * 3g + g * 3g)) = 0
(4 + 2g + (6g + 3g2)) = 0

Combine like terms: 2g + 6g = 8g
(4 + 8g + 3g2) = 0

Solving
4 + 8g + 3g2 = 0

Solving for variable 'g'.

Factor a trinomial.
(2 + g)(2 + 3g) = 0

Subproblem 1
Set the factor '(2 + g)' equal to zero and attempt to solve:

Simplifying
2 + g = 0

Solving
2 + g = 0

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

Add '-2' to each side of the equation.
2 + -2 + g = 0 + -2

Combine like terms: 2 + -2 = 0
0 + g = 0 + -2
g = 0 + -2

Combine like terms: 0 + -2 = -2
g = -2

Simplifying
g = -2
Subproblem 2
Set the factor '(2 + 3g)' equal to zero and attempt to solve:

Simplifying
2 + 3g = 0

Solving
2 + 3g = 0

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

Add '-2' to each side of the equation.
2 + -2 + 3g = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 3g = 0 + -2
3g = 0 + -2

Combine like terms: 0 + -2 = -2
3g = -2

Divide each side by '3'.
g = -0.6666666667

Simplifying
g = -0.6666666667
Solution
g = {-2, -0.6666666667}