-36n^2+60n-25=0

Solution for -36n^2+60n-25=0 equation:

Simplifying
-36n2 + 60n + -25 = 0

Reorder the terms:
-25 + 60n + -36n2 = 0

Solving
-25 + 60n + -36n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(-5 + 6n)(5 + -6n) = 0

Subproblem 1
Set the factor '(-5 + 6n)' equal to zero and attempt to solve:

Simplifying
-5 + 6n = 0

Solving
-5 + 6n = 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 + 6n = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 6n = 0 + 5
6n = 0 + 5

Combine like terms: 0 + 5 = 5
6n = 5

Divide each side by '6'.
n = 0.8333333333

Simplifying
n = 0.8333333333
Subproblem 2
Set the factor '(5 + -6n)' equal to zero and attempt to solve:

Simplifying
5 + -6n = 0

Solving
5 + -6n = 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 + -6n = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -6n = 0 + -5
-6n = 0 + -5

Combine like terms: 0 + -5 = -5
-6n = -5

Divide each side by '-6'.
n = 0.8333333333

Simplifying
n = 0.8333333333
Solution
n = {0.8333333333, 0.8333333333}