(s+2)(s-5)=44

Solution for (s+2)(s-5)=44 equation:

Simplifying
(s + 2)(s + -5) = 44

Reorder the terms:
(2 + s)(s + -5) = 44

Reorder the terms:
(2 + s)(-5 + s) = 44

Multiply (2 + s) * (-5 + s)
(2(-5 + s) + s(-5 + s)) = 44
((-5 * 2 + s * 2) + s(-5 + s)) = 44
((-10 + 2s) + s(-5 + s)) = 44
(-10 + 2s + (-5 * s + s * s)) = 44
(-10 + 2s + (-5s + s2)) = 44

Combine like terms: 2s + -5s = -3s
(-10 + -3s + s2) = 44

Solving
-10 + -3s + s2 = 44

Solving for variable 's'.

Reorder the terms:
-10 + -44 + -3s + s2 = 44 + -44

Combine like terms: -10 + -44 = -54
-54 + -3s + s2 = 44 + -44

Combine like terms: 44 + -44 = 0
-54 + -3s + s2 = 0

Factor a trinomial.
(-6 + -1s)(9 + -1s) = 0

Subproblem 1
Set the factor '(-6 + -1s)' equal to zero and attempt to solve:

Simplifying
-6 + -1s = 0

Solving
-6 + -1s = 0

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

Add '6' to each side of the equation.
-6 + 6 + -1s = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -1s = 0 + 6
-1s = 0 + 6

Combine like terms: 0 + 6 = 6
-1s = 6

Divide each side by '-1'.
s = -6

Simplifying
s = -6
Subproblem 2
Set the factor '(9 + -1s)' equal to zero and attempt to solve:

Simplifying
9 + -1s = 0

Solving
9 + -1s = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1s = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1s = 0 + -9
-1s = 0 + -9

Combine like terms: 0 + -9 = -9
-1s = -9

Divide each side by '-1'.
s = 9

Simplifying
s = 9
Solution
s = {-6, 9}