n^2+60=-16n

Solution for n^2+60=-16n equation:

Simplifying
n2 + 60 = -16n

Reorder the terms:
60 + n2 = -16n

Solving
60 + n2 = -16n

Solving for variable 'n'.

Reorder the terms:
60 + 16n + n2 = -16n + 16n

Combine like terms: -16n + 16n = 0
60 + 16n + n2 = 0

Factor a trinomial.
(10 + n)(6 + n) = 0

Subproblem 1
Set the factor '(10 + n)' equal to zero and attempt to solve:

Simplifying
10 + n = 0

Solving
10 + n = 0

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

Add '-10' to each side of the equation.
10 + -10 + n = 0 + -10

Combine like terms: 10 + -10 = 0
0 + n = 0 + -10
n = 0 + -10

Combine like terms: 0 + -10 = -10
n = -10

Simplifying
n = -10
Subproblem 2
Set the factor '(6 + n)' equal to zero and attempt to solve:

Simplifying
6 + n = 0

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

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

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

Simplifying
n = -6
Solution
n = {-10, -6}