(3g+2)(4g+3)=

Solution for (3g+2)(4g+3)= equation:

Simplifying
(3g + 2)(4g + 3) = 0

Reorder the terms:
(2 + 3g)(4g + 3) = 0

Reorder the terms:
(2 + 3g)(3 + 4g) = 0

Multiply (2 + 3g) * (3 + 4g)
(2(3 + 4g) + 3g * (3 + 4g)) = 0
((3 * 2 + 4g * 2) + 3g * (3 + 4g)) = 0
((6 + 8g) + 3g * (3 + 4g)) = 0
(6 + 8g + (3 * 3g + 4g * 3g)) = 0
(6 + 8g + (9g + 12g2)) = 0

Combine like terms: 8g + 9g = 17g
(6 + 17g + 12g2) = 0

Solving
6 + 17g + 12g2 = 0

Solving for variable 'g'.

Factor a trinomial.
(3 + 4g)(2 + 3g) = 0

Subproblem 1
Set the factor '(3 + 4g)' equal to zero and attempt to solve:

Simplifying
3 + 4g = 0

Solving
3 + 4g = 0

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

Add '-3' to each side of the equation.
3 + -3 + 4g = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 4g = 0 + -3
4g = 0 + -3

Combine like terms: 0 + -3 = -3
4g = -3

Divide each side by '4'.
g = -0.75

Simplifying
g = -0.75
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 = {-0.75, -0.6666666667}