2n^2-25n+77=

Solution for 2n^2-25n+77= equation:

Simplifying
2n2 + -25n + 77 = 0

Reorder the terms:
77 + -25n + 2n2 = 0

Solving
77 + -25n + 2n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(11 + -2n)(7 + -1n) = 0

Subproblem 1
Set the factor '(11 + -2n)' equal to zero and attempt to solve:

Simplifying
11 + -2n = 0

Solving
11 + -2n = 0

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

Add '-11' to each side of the equation.
11 + -11 + -2n = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -2n = 0 + -11
-2n = 0 + -11

Combine like terms: 0 + -11 = -11
-2n = -11

Divide each side by '-2'.
n = 5.5

Simplifying
n = 5.5
Subproblem 2
Set the factor '(7 + -1n)' equal to zero and attempt to solve:

Simplifying
7 + -1n = 0

Solving
7 + -1n = 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 + -1n = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1n = 0 + -7
-1n = 0 + -7

Combine like terms: 0 + -7 = -7
-1n = -7

Divide each side by '-1'.
n = 7

Simplifying
n = 7
Solution
n = {5.5, 7}