n^2-12n-60=4

Solution for n^2-12n-60=4 equation:

Simplifying
n2 + -12n + -60 = 4

Reorder the terms:
-60 + -12n + n2 = 4

Solving
-60 + -12n + n2 = 4

Solving for variable 'n'.

Reorder the terms:
-60 + -4 + -12n + n2 = 4 + -4

Combine like terms: -60 + -4 = -64
-64 + -12n + n2 = 4 + -4

Combine like terms: 4 + -4 = 0
-64 + -12n + n2 = 0

Factor a trinomial.
(-4 + -1n)(16 + -1n) = 0

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

Simplifying
-4 + -1n = 0

Solving
-4 + -1n = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1n = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1n = 0 + 4
-1n = 0 + 4

Combine like terms: 0 + 4 = 4
-1n = 4

Divide each side by '-1'.
n = -4

Simplifying
n = -4
Subproblem 2
Set the factor '(16 + -1n)' equal to zero and attempt to solve:

Simplifying
16 + -1n = 0

Solving
16 + -1n = 0

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

Add '-16' to each side of the equation.
16 + -16 + -1n = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -1n = 0 + -16
-1n = 0 + -16

Combine like terms: 0 + -16 = -16
-1n = -16

Divide each side by '-1'.
n = 16

Simplifying
n = 16
Solution
n = {-4, 16}