s^2+13s=-42

Solution for s^2+13s=-42 equation:

Simplifying
s2 + 13s = -42

Reorder the terms:
13s + s2 = -42

Solving
13s + s2 = -42

Solving for variable 's'.

Reorder the terms:
42 + 13s + s2 = -42 + 42

Combine like terms: -42 + 42 = 0
42 + 13s + s2 = 0

Factor a trinomial.
(7 + s)(6 + s) = 0

Subproblem 1
Set the factor '(7 + s)' equal to zero and attempt to solve:

Simplifying
7 + s = 0

Solving
7 + s = 0

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

Add '-7' to each side of the equation.
7 + -7 + s = 0 + -7

Combine like terms: 7 + -7 = 0
0 + s = 0 + -7
s = 0 + -7

Combine like terms: 0 + -7 = -7
s = -7

Simplifying
s = -7
Subproblem 2
Set the factor '(6 + s)' equal to zero and attempt to solve:

Simplifying
6 + s = 0

Solving
6 + s = 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 + s = 0 + -6

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

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

Simplifying
s = -6
Solution
s = {-7, -6}