n^2+12n-50=-5

Solution for n^2+12n-50=-5 equation:

Simplifying
n2 + 12n + -50 = -5

Reorder the terms:
-50 + 12n + n2 = -5

Solving
-50 + 12n + n2 = -5

Solving for variable 'n'.

Reorder the terms:
-50 + 5 + 12n + n2 = -5 + 5

Combine like terms: -50 + 5 = -45
-45 + 12n + n2 = -5 + 5

Combine like terms: -5 + 5 = 0
-45 + 12n + n2 = 0

Factor a trinomial.
(-15 + -1n)(3 + -1n) = 0

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

Simplifying
-15 + -1n = 0

Solving
-15 + -1n = 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 + -1n = 0 + 15

Combine like terms: -15 + 15 = 0
0 + -1n = 0 + 15
-1n = 0 + 15

Combine like terms: 0 + 15 = 15
-1n = 15

Divide each side by '-1'.
n = -15

Simplifying
n = -15
Subproblem 2
Set the factor '(3 + -1n)' equal to zero and attempt to solve:

Simplifying
3 + -1n = 0

Solving
3 + -1n = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1n = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1n = 0 + -3
-1n = 0 + -3

Combine like terms: 0 + -3 = -3
-1n = -3

Divide each side by '-1'.
n = 3

Simplifying
n = 3
Solution
n = {-15, 3}