(11n+3)(2n-5)=0

Solution for (11n+3)(2n-5)=0 equation:

Simplifying
(11n + 3)(2n + -5) = 0

Reorder the terms:
(3 + 11n)(2n + -5) = 0

Reorder the terms:
(3 + 11n)(-5 + 2n) = 0

Multiply (3 + 11n) * (-5 + 2n)
(3(-5 + 2n) + 11n * (-5 + 2n)) = 0
((-5 * 3 + 2n * 3) + 11n * (-5 + 2n)) = 0
((-15 + 6n) + 11n * (-5 + 2n)) = 0
(-15 + 6n + (-5 * 11n + 2n * 11n)) = 0
(-15 + 6n + (-55n + 22n2)) = 0

Combine like terms: 6n + -55n = -49n
(-15 + -49n + 22n2) = 0

Solving
-15 + -49n + 22n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(-3 + -11n)(5 + -2n) = 0

Subproblem 1
Set the factor '(-3 + -11n)' equal to zero and attempt to solve:

Simplifying
-3 + -11n = 0

Solving
-3 + -11n = 0

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

Add '3' to each side of the equation.
-3 + 3 + -11n = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -11n = 0 + 3
-11n = 0 + 3

Combine like terms: 0 + 3 = 3
-11n = 3

Divide each side by '-11'.
n = -0.2727272727

Simplifying
n = -0.2727272727
Subproblem 2
Set the factor '(5 + -2n)' equal to zero and attempt to solve:

Simplifying
5 + -2n = 0

Solving
5 + -2n = 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 + -2n = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2n = 0 + -5
-2n = 0 + -5

Combine like terms: 0 + -5 = -5
-2n = -5

Divide each side by '-2'.
n = 2.5

Simplifying
n = 2.5
Solution
n = {-0.2727272727, 2.5}