2n^2-95=-9n

Solution for 2n^2-95=-9n equation:

Simplifying
2n2 + -95 = -9n

Reorder the terms:
-95 + 2n2 = -9n

Solving
-95 + 2n2 = -9n

Solving for variable 'n'.

Reorder the terms:
-95 + 9n + 2n2 = -9n + 9n

Combine like terms: -9n + 9n = 0
-95 + 9n + 2n2 = 0

Factor a trinomial.
(-19 + -2n)(5 + -1n) = 0

Subproblem 1
Set the factor '(-19 + -2n)' equal to zero and attempt to solve:

Simplifying
-19 + -2n = 0

Solving
-19 + -2n = 0

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

Add '19' to each side of the equation.
-19 + 19 + -2n = 0 + 19

Combine like terms: -19 + 19 = 0
0 + -2n = 0 + 19
-2n = 0 + 19

Combine like terms: 0 + 19 = 19
-2n = 19

Divide each side by '-2'.
n = -9.5

Simplifying
n = -9.5
Subproblem 2
Set the factor '(5 + -1n)' equal to zero and attempt to solve:

Simplifying
5 + -1n = 0

Solving
5 + -1n = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1n = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1n = 0 + -5
-1n = 0 + -5

Combine like terms: 0 + -5 = -5
-1n = -5

Divide each side by '-1'.
n = 5

Simplifying
n = 5
Solution
n = {-9.5, 5}