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

Solution for (2g+3)(4g+3)=0 equation:

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

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

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

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

Combine like terms: 12g + 6g = 18g
(9 + 18g + 8g2) = 0

Solving
9 + 18g + 8g2 = 0

Solving for variable 'g'.

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

Subproblem 1
Set the factor '(3 + 2g)' equal to zero and attempt to solve:

Simplifying
3 + 2g = 0

Solving
3 + 2g = 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 + 2g = 0 + -3

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

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

Divide each side by '2'.
g = -1.5

Simplifying
g = -1.5
Subproblem 2
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
Solution
g = {-1.5, -0.75}