s(s-3)=88

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

Simplifying
s(s + -3) = 88

Reorder the terms:
s(-3 + s) = 88
(-3 * s + s * s) = 88
(-3s + s2) = 88

Solving
-3s + s2 = 88

Solving for variable 's'.

Reorder the terms:
-88 + -3s + s2 = 88 + -88

Combine like terms: 88 + -88 = 0
-88 + -3s + s2 = 0

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

Subproblem 1
Set the factor '(-8 + -1s)' equal to zero and attempt to solve:

Simplifying
-8 + -1s = 0

Solving
-8 + -1s = 0

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

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

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

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

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

Simplifying
s = -8
Subproblem 2
Set the factor '(11 + -1s)' equal to zero and attempt to solve:

Simplifying
11 + -1s = 0

Solving
11 + -1s = 0

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

Add '-11' to each side of the equation.
11 + -11 + -1s = 0 + -11

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

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

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

Simplifying
s = 11
Solution
s = {-8, 11}