2n^2+15=11n

Solution for 2n^2+15=11n equation:

Simplifying
2n2 + 15 = 11n

Reorder the terms:
15 + 2n2 = 11n

Solving
15 + 2n2 = 11n

Solving for variable 'n'.

Reorder the terms:
15 + -11n + 2n2 = 11n + -11n

Combine like terms: 11n + -11n = 0
15 + -11n + 2n2 = 0

Factor a trinomial.
(5 + -2n)(3 + -1n) = 0

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

Simplifying
5 + -2n = 0

Solving
5 + -2n = 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 + -2n = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2n = 0 + -5
-2n = 0 + -5

Combine like terms: 0 + -5 = -5
-2n = -5

Divide each side by '-2'.
n = 2.5

Simplifying
n = 2.5
Subproblem 2
Set the factor '(3 + -1n)' equal to zero and attempt to solve:

Simplifying
3 + -1n = 0

Solving
3 + -1n = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1n = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1n = 0 + -3
-1n = 0 + -3

Combine like terms: 0 + -3 = -3
-1n = -3

Divide each side by '-1'.
n = 3

Simplifying
n = 3
Solution
n = {2.5, 3}