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

Solution for (g+3)(g+5)=0 equation:

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

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

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

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

Combine like terms: 3g + 5g = 8g
(15 + 8g + g2) = 0

Solving
15 + 8g + g2 = 0

Solving for variable 'g'.

Factor a trinomial.
(5 + g)(3 + g) = 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 + g)' equal to zero and attempt to solve:

Simplifying
3 + g = 0

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

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

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

Simplifying
g = -3
Solution
g = {-5, -3}