-2n^2+15n-13=0

Solution for -2n^2+15n-13=0 equation:

Simplifying
-2n2 + 15n + -13 = 0

Reorder the terms:
-13 + 15n + -2n2 = 0

Solving
-13 + 15n + -2n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(-13 + 2n)(1 + -1n) = 0

Subproblem 1
Set the factor '(-13 + 2n)' equal to zero and attempt to solve:

Simplifying
-13 + 2n = 0

Solving
-13 + 2n = 0

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

Add '13' to each side of the equation.
-13 + 13 + 2n = 0 + 13

Combine like terms: -13 + 13 = 0
0 + 2n = 0 + 13
2n = 0 + 13

Combine like terms: 0 + 13 = 13
2n = 13

Divide each side by '2'.
n = 6.5

Simplifying
n = 6.5
Subproblem 2
Set the factor '(1 + -1n)' equal to zero and attempt to solve:

Simplifying
1 + -1n = 0

Solving
1 + -1n = 0

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

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

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

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

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

Simplifying
n = 1
Solution
n = {6.5, 1}