(n-8)(n-3)=

Solution for (n-8)(n-3)= equation:

Simplifying
(n + -8)(n + -3) = 0

Reorder the terms:
(-8 + n)(n + -3) = 0

Reorder the terms:
(-8 + n)(-3 + n) = 0

Multiply (-8 + n) * (-3 + n)
(-8(-3 + n) + n(-3 + n)) = 0
((-3 * -8 + n * -8) + n(-3 + n)) = 0
((24 + -8n) + n(-3 + n)) = 0
(24 + -8n + (-3 * n + n * n)) = 0
(24 + -8n + (-3n + n2)) = 0

Combine like terms: -8n + -3n = -11n
(24 + -11n + n2) = 0

Solving
24 + -11n + n2 = 0

Solving for variable 'n'.

Factor a trinomial.
(3 + -1n)(8 + -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 '(8 + -1n)' equal to zero and attempt to solve:

Simplifying
8 + -1n = 0

Solving
8 + -1n = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1n = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1n = 0 + -8
-1n = 0 + -8

Combine like terms: 0 + -8 = -8
-1n = -8

Divide each side by '-1'.
n = 8

Simplifying
n = 8
Solution
n = {3, 8}