5n^2+37n+36=-6

Solution for 5n^2+37n+36=-6 equation:

Simplifying
5n2 + 37n + 36 = -6

Reorder the terms:
36 + 37n + 5n2 = -6

Solving
36 + 37n + 5n2 = -6

Solving for variable 'n'.

Reorder the terms:
36 + 6 + 37n + 5n2 = -6 + 6

Combine like terms: 36 + 6 = 42
42 + 37n + 5n2 = -6 + 6

Combine like terms: -6 + 6 = 0
42 + 37n + 5n2 = 0

Factor a trinomial.
(6 + n)(7 + 5n) = 0

Subproblem 1
Set the factor '(6 + n)' equal to zero and attempt to solve:

Simplifying
6 + n = 0

Solving
6 + n = 0

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

Add '-6' to each side of the equation.
6 + -6 + n = 0 + -6

Combine like terms: 6 + -6 = 0
0 + n = 0 + -6
n = 0 + -6

Combine like terms: 0 + -6 = -6
n = -6

Simplifying
n = -6
Subproblem 2
Set the factor '(7 + 5n)' equal to zero and attempt to solve:

Simplifying
7 + 5n = 0

Solving
7 + 5n = 0

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

Add '-7' to each side of the equation.
7 + -7 + 5n = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 5n = 0 + -7
5n = 0 + -7

Combine like terms: 0 + -7 = -7
5n = -7

Divide each side by '5'.
n = -1.4

Simplifying
n = -1.4
Solution
n = {-6, -1.4}