(n-4)(n-11)=

Solution for (n-4)(n-11)= equation:

Simplifying
(n + -4)(n + -11) = 0

Reorder the terms:
(-4 + n)(n + -11) = 0

Reorder the terms:
(-4 + n)(-11 + n) = 0

Multiply (-4 + n) * (-11 + n)
(-4(-11 + n) + n(-11 + n)) = 0
((-11 * -4 + n * -4) + n(-11 + n)) = 0
((44 + -4n) + n(-11 + n)) = 0
(44 + -4n + (-11 * n + n * n)) = 0
(44 + -4n + (-11n + n2)) = 0

Combine like terms: -4n + -11n = -15n
(44 + -15n + n2) = 0

Solving
44 + -15n + n2 = 0

Solving for variable 'n'.

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

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

Simplifying
4 + -1n = 0

Solving
4 + -1n = 0

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

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

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

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

Divide each side by '-1'.
n = 4

Simplifying
n = 4
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 = {4, 11}