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Simplifying (3s + 5)(s + 2) = 0 Reorder the terms: (5 + 3s)(s + 2) = 0 Reorder the terms: (5 + 3s)(2 + s) = 0 Multiply (5 + 3s) * (2 + s) (5(2 + s) + 3s * (2 + s)) = 0 ((2 * 5 + s * 5) + 3s * (2 + s)) = 0 ((10 + 5s) + 3s * (2 + s)) = 0 (10 + 5s + (2 * 3s + s * 3s)) = 0 (10 + 5s + (6s + 3s2)) = 0 Combine like terms: 5s + 6s = 11s (10 + 11s + 3s2) = 0 Solving 10 + 11s + 3s2 = 0 Solving for variable 's'. Factor a trinomial. (2 + s)(5 + 3s) = 0Subproblem 1
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 = -2Subproblem 2
Set the factor '(5 + 3s)' equal to zero and attempt to solve: Simplifying 5 + 3s = 0 Solving 5 + 3s = 0 Move all terms containing s to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 3s = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3s = 0 + -5 3s = 0 + -5 Combine like terms: 0 + -5 = -5 3s = -5 Divide each side by '3'. s = -1.666666667 Simplifying s = -1.666666667Solution
s = {-2, -1.666666667}
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