(4g+3)(9g+6)=

Solution for (4g+3)(9g+6)= equation:

Simplifying
(4g + 3)(9g + 6) = 0

Reorder the terms:
(3 + 4g)(9g + 6) = 0

Reorder the terms:
(3 + 4g)(6 + 9g) = 0

Multiply (3 + 4g) * (6 + 9g)
(3(6 + 9g) + 4g * (6 + 9g)) = 0
((6 * 3 + 9g * 3) + 4g * (6 + 9g)) = 0
((18 + 27g) + 4g * (6 + 9g)) = 0
(18 + 27g + (6 * 4g + 9g * 4g)) = 0
(18 + 27g + (24g + 36g2)) = 0

Combine like terms: 27g + 24g = 51g
(18 + 51g + 36g2) = 0

Solving
18 + 51g + 36g2 = 0

Solving for variable 'g'.

Factor out the Greatest Common Factor (GCF), '3'.
3(6 + 17g + 12g2) = 0

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

Ignore the factor 3.
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}