8n^2+23n+15=0

Solution for 8n^2+23n+15=0 equation:

Simplifying
8n2 + 23n + 15 = 0

Reorder the terms:
15 + 23n + 8n2 = 0

Solving
15 + 23n + 8n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(15 + 8n)(1 + n) = 0

Subproblem 1
Set the factor '(15 + 8n)' equal to zero and attempt to solve:

Simplifying
15 + 8n = 0

Solving
15 + 8n = 0

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

Add '-15' to each side of the equation.
15 + -15 + 8n = 0 + -15

Combine like terms: 15 + -15 = 0
0 + 8n = 0 + -15
8n = 0 + -15

Combine like terms: 0 + -15 = -15
8n = -15

Divide each side by '8'.
n = -1.875

Simplifying
n = -1.875
Subproblem 2
Set the factor '(1 + n)' equal to zero and attempt to solve:

Simplifying
1 + n = 0

Solving
1 + n = 0

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

Add '-1' to each side of the equation.
1 + -1 + n = 0 + -1

Combine like terms: 1 + -1 = 0
0 + n = 0 + -1
n = 0 + -1

Combine like terms: 0 + -1 = -1
n = -1

Simplifying
n = -1
Solution
n = {-1.875, -1}