12n+120+n^2-10n=

Solution for 12n+120+n^2-10n= equation:

Simplifying
12n + 120 + n2 + -10n = 0

Reorder the terms:
120 + 12n + -10n + n2 = 0

Combine like terms: 12n + -10n = 2n
120 + 2n + n2 = 0

Solving
120 + 2n + n2 = 0

Solving for variable 'n'.

Begin completing the square.

Move the constant term to the right:

Add '-120' to each side of the equation.
120 + 2n + -120 + n2 = 0 + -120

Reorder the terms:
120 + -120 + 2n + n2 = 0 + -120

Combine like terms: 120 + -120 = 0
0 + 2n + n2 = 0 + -120
2n + n2 = 0 + -120

Combine like terms: 0 + -120 = -120
2n + n2 = -120

The n term is 2n.  Take half its coefficient (1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
2n + 1 + n2 = -120 + 1

Reorder the terms:
1 + 2n + n2 = -120 + 1

Combine like terms: -120 + 1 = -119
1 + 2n + n2 = -119

Factor a perfect square on the left side:
(n + 1)(n + 1) = -119

Can't calculate square root of the right side.

The solution to this equation could not be determined.