10n^2-41n+40=0

Solution for 10n^2-41n+40=0 equation:

Simplifying
10n2 + -41n + 40 = 0

Reorder the terms:
40 + -41n + 10n2 = 0

Solving
40 + -41n + 10n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(8 + -5n)(5 + -2n) = 0

Subproblem 1
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
Subproblem 2
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
Solution
n = {1.6, 2.5}