(n-11)(n-3)=

Solution for (n-11)(n-3)= equation:

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

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

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

Multiply (-11 + n) * (-3 + n)
(-11(-3 + n) + n(-3 + n)) = 0
((-3 * -11 + n * -11) + n(-3 + n)) = 0
((33 + -11n) + n(-3 + n)) = 0
(33 + -11n + (-3 * n + n * n)) = 0
(33 + -11n + (-3n + n2)) = 0

Combine like terms: -11n + -3n = -14n
(33 + -14n + n2) = 0

Solving
33 + -14n + n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(3 + -1n)(11 + -1n) = 0

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

Simplifying
3 + -1n = 0

Solving
3 + -1n = 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 + -1n = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1n = 0 + -3
-1n = 0 + -3

Combine like terms: 0 + -3 = -3
-1n = -3

Divide each side by '-1'.
n = 3

Simplifying
n = 3
Subproblem 2
Set the factor '(11 + -1n)' equal to zero and attempt to solve:

Simplifying
11 + -1n = 0

Solving
11 + -1n = 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 + -1n = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -1n = 0 + -11
-1n = 0 + -11

Combine like terms: 0 + -11 = -11
-1n = -11

Divide each side by '-1'.
n = 11

Simplifying
n = 11
Solution
n = {3, 11}