25n^2-32=20n

Solution for 25n^2-32=20n equation:

Simplifying
25n2 + -32 = 20n

Reorder the terms:
-32 + 25n2 = 20n

Solving
-32 + 25n2 = 20n

Solving for variable 'n'.

Reorder the terms:
-32 + -20n + 25n2 = 20n + -20n

Combine like terms: 20n + -20n = 0
-32 + -20n + 25n2 = 0

Factor a trinomial.
(-4 + -5n)(8 + -5n) = 0

Subproblem 1
Set the factor '(-4 + -5n)' equal to zero and attempt to solve:

Simplifying
-4 + -5n = 0

Solving
-4 + -5n = 0

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

Add '4' to each side of the equation.
-4 + 4 + -5n = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -5n = 0 + 4
-5n = 0 + 4

Combine like terms: 0 + 4 = 4
-5n = 4

Divide each side by '-5'.
n = -0.8

Simplifying
n = -0.8
Subproblem 2
Set the factor '(8 + -5n)' equal to zero and attempt to solve:

Simplifying
8 + -5n = 0

Solving
8 + -5n = 0

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

Add '-8' to each side of the equation.
8 + -8 + -5n = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -5n = 0 + -8
-5n = 0 + -8

Combine like terms: 0 + -8 = -8
-5n = -8

Divide each side by '-5'.
n = 1.6

Simplifying
n = 1.6
Solution
n = {-0.8, 1.6}