4g^2+16g+15=0

Solution for 4g^2+16g+15=0 equation:

Simplifying
4g2 + 16g + 15 = 0

Reorder the terms:
15 + 16g + 4g2 = 0

Solving
15 + 16g + 4g2 = 0

Solving for variable 'g'.

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

Subproblem 1
Set the factor '(5 + 2g)' equal to zero and attempt to solve:

Simplifying
5 + 2g = 0

Solving
5 + 2g = 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 + 2g = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 2g = 0 + -5
2g = 0 + -5

Combine like terms: 0 + -5 = -5
2g = -5

Divide each side by '2'.
g = -2.5

Simplifying
g = -2.5
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 = {-2.5, -1.5}