5n^2+6n-11=0

Solution for 5n^2+6n-11=0 equation:

Simplifying
5n2 + 6n + -11 = 0

Reorder the terms:
-11 + 6n + 5n2 = 0

Solving
-11 + 6n + 5n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(-11 + -5n)(1 + -1n) = 0

Subproblem 1
Set the factor '(-11 + -5n)' equal to zero and attempt to solve:

Simplifying
-11 + -5n = 0

Solving
-11 + -5n = 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 + -5n = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -5n = 0 + 11
-5n = 0 + 11

Combine like terms: 0 + 11 = 11
-5n = 11

Divide each side by '-5'.
n = -2.2

Simplifying
n = -2.2
Subproblem 2
Set the factor '(1 + -1n)' equal to zero and attempt to solve:

Simplifying
1 + -1n = 0

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

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

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

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

Simplifying
n = 1
Solution
n = {-2.2, 1}