5n^2-32n+35=0

Solution for 5n^2-32n+35=0 equation:

Simplifying
5n2 + -32n + 35 = 0

Reorder the terms:
35 + -32n + 5n2 = 0

Solving
35 + -32n + 5n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(7 + -5n)(5 + -1n) = 0

Subproblem 1
Set the factor '(7 + -5n)' equal to zero and attempt to solve:

Simplifying
7 + -5n = 0

Solving
7 + -5n = 0

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

Add '-7' to each side of the equation.
7 + -7 + -5n = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -5n = 0 + -7
-5n = 0 + -7

Combine like terms: 0 + -7 = -7
-5n = -7

Divide each side by '-5'.
n = 1.4

Simplifying
n = 1.4
Subproblem 2
Set the factor '(5 + -1n)' equal to zero and attempt to solve:

Simplifying
5 + -1n = 0

Solving
5 + -1n = 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 + -1n = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1n = 0 + -5
-1n = 0 + -5

Combine like terms: 0 + -5 = -5
-1n = -5

Divide each side by '-1'.
n = 5

Simplifying
n = 5
Solution
n = {1.4, 5}