5n^2-119-11n=-11n+6

Solution for 5n^2-119-11n=-11n+6 equation:

Simplifying
5n2 + -119 + -11n = -11n + 6

Reorder the terms:
-119 + -11n + 5n2 = -11n + 6

Reorder the terms:
-119 + -11n + 5n2 = 6 + -11n

Add '11n' to each side of the equation.
-119 + -11n + 11n + 5n2 = 6 + -11n + 11n

Combine like terms: -11n + 11n = 0
-119 + 0 + 5n2 = 6 + -11n + 11n
-119 + 5n2 = 6 + -11n + 11n

Combine like terms: -11n + 11n = 0
-119 + 5n2 = 6 + 0
-119 + 5n2 = 6

Solving
-119 + 5n2 = 6

Solving for variable 'n'.

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

Add '119' to each side of the equation.
-119 + 119 + 5n2 = 6 + 119

Combine like terms: -119 + 119 = 0
0 + 5n2 = 6 + 119
5n2 = 6 + 119

Combine like terms: 6 + 119 = 125
5n2 = 125

Divide each side by '5'.
n2 = 25

Simplifying
n2 = 25

Take the square root of each side:
n = {-5, 5}