n^2+5n-6=60

Solution for n^2+5n-6=60 equation:

Simplifying
n2 + 5n + -6 = 60

Reorder the terms:
-6 + 5n + n2 = 60

Solving
-6 + 5n + n2 = 60

Solving for variable 'n'.

Reorder the terms:
-6 + -60 + 5n + n2 = 60 + -60

Combine like terms: -6 + -60 = -66
-66 + 5n + n2 = 60 + -60

Combine like terms: 60 + -60 = 0
-66 + 5n + n2 = 0

Factor a trinomial.
(-11 + -1n)(6 + -1n) = 0

Subproblem 1
Set the factor '(-11 + -1n)' equal to zero and attempt to solve:

Simplifying
-11 + -1n = 0

Solving
-11 + -1n = 0

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

Add '11' to each side of the equation.
-11 + 11 + -1n = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -1n = 0 + 11
-1n = 0 + 11

Combine like terms: 0 + 11 = 11
-1n = 11

Divide each side by '-1'.
n = -11

Simplifying
n = -11
Subproblem 2
Set the factor '(6 + -1n)' equal to zero and attempt to solve:

Simplifying
6 + -1n = 0

Solving
6 + -1n = 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 + -1n = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1n = 0 + -6
-1n = 0 + -6

Combine like terms: 0 + -6 = -6
-1n = -6

Divide each side by '-1'.
n = 6

Simplifying
n = 6
Solution
n = {-11, 6}