s^2=-5s-6

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Solution for s^2=-5s-6 equation:


Simplifying
s2 = -5s + -6

Reorder the terms:
s2 = -6 + -5s

Solving
s2 = -6 + -5s

Solving for variable 's'.

Reorder the terms:
6 + 5s + s2 = -6 + -5s + 6 + 5s

Reorder the terms:
6 + 5s + s2 = -6 + 6 + -5s + 5s

Combine like terms: -6 + 6 = 0
6 + 5s + s2 = 0 + -5s + 5s
6 + 5s + s2 = -5s + 5s

Combine like terms: -5s + 5s = 0
6 + 5s + s2 = 0

Factor a trinomial.
(3 + s)(2 + s) = 0

Subproblem 1

Set the factor '(3 + s)' equal to zero and attempt to solve: Simplifying 3 + s = 0 Solving 3 + s = 0 Move all terms containing s to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + s = 0 + -3 Combine like terms: 3 + -3 = 0 0 + s = 0 + -3 s = 0 + -3 Combine like terms: 0 + -3 = -3 s = -3 Simplifying s = -3

Subproblem 2

Set the factor '(2 + s)' equal to zero and attempt to solve: Simplifying 2 + s = 0 Solving 2 + s = 0 Move all terms containing s to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + s = 0 + -2 Combine like terms: 2 + -2 = 0 0 + s = 0 + -2 s = 0 + -2 Combine like terms: 0 + -2 = -2 s = -2 Simplifying s = -2

Solution

s = {-3, -2}

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