n^2+15n=-26

Solution for n^2+15n=-26 equation:

Simplifying
n2 + 15n = -26

Reorder the terms:
15n + n2 = -26

Solving
15n + n2 = -26

Solving for variable 'n'.

Reorder the terms:
26 + 15n + n2 = -26 + 26

Combine like terms: -26 + 26 = 0
26 + 15n + n2 = 0

Factor a trinomial.
(13 + n)(2 + n) = 0

Subproblem 1
Set the factor '(13 + n)' equal to zero and attempt to solve:

Simplifying
13 + n = 0

Solving
13 + n = 0

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

Add '-13' to each side of the equation.
13 + -13 + n = 0 + -13

Combine like terms: 13 + -13 = 0
0 + n = 0 + -13
n = 0 + -13

Combine like terms: 0 + -13 = -13
n = -13

Simplifying
n = -13
Subproblem 2
Set the factor '(2 + n)' equal to zero and attempt to solve:

Simplifying
2 + n = 0

Solving
2 + n = 0

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

Add '-2' to each side of the equation.
2 + -2 + n = 0 + -2

Combine like terms: 2 + -2 = 0
0 + n = 0 + -2
n = 0 + -2

Combine like terms: 0 + -2 = -2
n = -2

Simplifying
n = -2
Solution
n = {-13, -2}