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Simplifying (s + 3)(s + 1) = 0 Reorder the terms: (3 + s)(s + 1) = 0 Reorder the terms: (3 + s)(1 + s) = 0 Multiply (3 + s) * (1 + s) (3(1 + s) + s(1 + s)) = 0 ((1 * 3 + s * 3) + s(1 + s)) = 0 ((3 + 3s) + s(1 + s)) = 0 (3 + 3s + (1 * s + s * s)) = 0 (3 + 3s + (1s + s2)) = 0 Combine like terms: 3s + 1s = 4s (3 + 4s + s2) = 0 Solving 3 + 4s + s2 = 0 Solving for variable 's'. Factor a trinomial. (3 + s)(1 + s) = 0Subproblem 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 = -3Subproblem 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 = -1Solution
s = {-3, -1}
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