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Simplifying (3s + 20)(s + 1) = -20 Reorder the terms: (20 + 3s)(s + 1) = -20 Reorder the terms: (20 + 3s)(1 + s) = -20 Multiply (20 + 3s) * (1 + s) (20(1 + s) + 3s * (1 + s)) = -20 ((1 * 20 + s * 20) + 3s * (1 + s)) = -20 ((20 + 20s) + 3s * (1 + s)) = -20 (20 + 20s + (1 * 3s + s * 3s)) = -20 (20 + 20s + (3s + 3s2)) = -20 Combine like terms: 20s + 3s = 23s (20 + 23s + 3s2) = -20 Solving 20 + 23s + 3s2 = -20 Solving for variable 's'. Reorder the terms: 20 + 20 + 23s + 3s2 = -20 + 20 Combine like terms: 20 + 20 = 40 40 + 23s + 3s2 = -20 + 20 Combine like terms: -20 + 20 = 0 40 + 23s + 3s2 = 0 Factor a trinomial. (5 + s)(8 + 3s) = 0Subproblem 1
Set the factor '(5 + s)' equal to zero and attempt to solve: Simplifying 5 + s = 0 Solving 5 + s = 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 + s = 0 + -5 Combine like terms: 5 + -5 = 0 0 + s = 0 + -5 s = 0 + -5 Combine like terms: 0 + -5 = -5 s = -5 Simplifying s = -5Subproblem 2
Set the factor '(8 + 3s)' equal to zero and attempt to solve: Simplifying 8 + 3s = 0 Solving 8 + 3s = 0 Move all terms containing s to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 3s = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 3s = 0 + -8 3s = 0 + -8 Combine like terms: 0 + -8 = -8 3s = -8 Divide each side by '3'. s = -2.666666667 Simplifying s = -2.666666667Solution
s = {-5, -2.666666667}
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