s^2+30s=-29

Solution for s^2+30s=-29 equation:

Simplifying
s2 + 30s = -29

Reorder the terms:
30s + s2 = -29

Solving
30s + s2 = -29

Solving for variable 's'.

Reorder the terms:
29 + 30s + s2 = -29 + 29

Combine like terms: -29 + 29 = 0
29 + 30s + s2 = 0

Factor a trinomial.
(29 + s)(1 + s) = 0

Subproblem 1
Set the factor '(29 + s)' equal to zero and attempt to solve:

Simplifying
29 + s = 0

Solving
29 + s = 0

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

Add '-29' to each side of the equation.
29 + -29 + s = 0 + -29

Combine like terms: 29 + -29 = 0
0 + s = 0 + -29
s = 0 + -29

Combine like terms: 0 + -29 = -29
s = -29

Simplifying
s = -29
Subproblem 2
Set the factor '(1 + s)' equal to zero and attempt to solve:

Simplifying
1 + s = 0

Solving
1 + s = 0

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

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

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

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

Simplifying
s = -1
Solution
s = {-29, -1}