n^2-34n+64=0

Solution for n^2-34n+64=0 equation:

Simplifying
n2 + -34n + 64 = 0

Reorder the terms:
64 + -34n + n2 = 0

Solving
64 + -34n + n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(2 + -1n)(32 + -1n) = 0

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

Simplifying
2 + -1n = 0

Solving
2 + -1n = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1n = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1n = 0 + -2
-1n = 0 + -2

Combine like terms: 0 + -2 = -2
-1n = -2

Divide each side by '-1'.
n = 2

Simplifying
n = 2
Subproblem 2
Set the factor '(32 + -1n)' equal to zero and attempt to solve:

Simplifying
32 + -1n = 0

Solving
32 + -1n = 0

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

Add '-32' to each side of the equation.
32 + -32 + -1n = 0 + -32

Combine like terms: 32 + -32 = 0
0 + -1n = 0 + -32
-1n = 0 + -32

Combine like terms: 0 + -32 = -32
-1n = -32

Divide each side by '-1'.
n = 32

Simplifying
n = 32
Solution
n = {2, 32}