(g+5)(2g+3)=

Solution for (g+5)(2g+3)= equation:

Simplifying
(g + 5)(2g + 3) = 0

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

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

Multiply (5 + g) * (3 + 2g)
(5(3 + 2g) + g(3 + 2g)) = 0
((3 * 5 + 2g * 5) + g(3 + 2g)) = 0
((15 + 10g) + g(3 + 2g)) = 0
(15 + 10g + (3 * g + 2g * g)) = 0
(15 + 10g + (3g + 2g2)) = 0

Combine like terms: 10g + 3g = 13g
(15 + 13g + 2g2) = 0

Solving
15 + 13g + 2g2 = 0

Solving for variable 'g'.

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

Subproblem 1
Set the factor '(5 + g)' equal to zero and attempt to solve:

Simplifying
5 + g = 0

Solving
5 + g = 0

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

Add '-5' to each side of the equation.
5 + -5 + g = 0 + -5

Combine like terms: 5 + -5 = 0
0 + g = 0 + -5
g = 0 + -5

Combine like terms: 0 + -5 = -5
g = -5

Simplifying
g = -5
Subproblem 2
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
Solution
g = {-5, -1.5}