n(n-3)=88

Solution for n(n-3)=88 equation:

Simplifying
n(n + -3) = 88

Reorder the terms:
n(-3 + n) = 88
(-3 * n + n * n) = 88
(-3n + n2) = 88

Solving
-3n + n2 = 88

Solving for variable 'n'.

Reorder the terms:
-88 + -3n + n2 = 88 + -88

Combine like terms: 88 + -88 = 0
-88 + -3n + n2 = 0

Factor a trinomial.
(-8 + -1n)(11 + -1n) = 0

Subproblem 1
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
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 = {-8, 11}