-12n^2-11n=-15

Solution for -12n^2-11n=-15 equation:

Simplifying
-12n2 + -11n = -15

Reorder the terms:
-11n + -12n2 = -15

Solving
-11n + -12n2 = -15

Solving for variable 'n'.

Reorder the terms:
15 + -11n + -12n2 = -15 + 15

Combine like terms: -15 + 15 = 0
15 + -11n + -12n2 = 0

Factor a trinomial.
(3 + -4n)(5 + 3n) = 0

Subproblem 1
Set the factor '(3 + -4n)' equal to zero and attempt to solve:

Simplifying
3 + -4n = 0

Solving
3 + -4n = 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 + -4n = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -4n = 0 + -3
-4n = 0 + -3

Combine like terms: 0 + -3 = -3
-4n = -3

Divide each side by '-4'.
n = 0.75

Simplifying
n = 0.75
Subproblem 2
Set the factor '(5 + 3n)' equal to zero and attempt to solve:

Simplifying
5 + 3n = 0

Solving
5 + 3n = 0

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

Add '-5' to each side of the equation.
5 + -5 + 3n = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 3n = 0 + -5
3n = 0 + -5

Combine like terms: 0 + -5 = -5
3n = -5

Divide each side by '3'.
n = -1.666666667

Simplifying
n = -1.666666667
Solution
n = {0.75, -1.666666667}