8n^2-46n+11=

Solution for 8n^2-46n+11= equation:

Simplifying
8n2 + -46n + 11 = 0

Reorder the terms:
11 + -46n + 8n2 = 0

Solving
11 + -46n + 8n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(1 + -4n)(11 + -2n) = 0

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

Simplifying
1 + -4n = 0

Solving
1 + -4n = 0

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

Add '-1' to each side of the equation.
1 + -1 + -4n = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -4n = 0 + -1
-4n = 0 + -1

Combine like terms: 0 + -1 = -1
-4n = -1

Divide each side by '-4'.
n = 0.25

Simplifying
n = 0.25
Subproblem 2
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
Solution
n = {0.25, 5.5}