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Simplifying (2s + 15)(s + 1) = -11 Reorder the terms: (15 + 2s)(s + 1) = -11 Reorder the terms: (15 + 2s)(1 + s) = -11 Multiply (15 + 2s) * (1 + s) (15(1 + s) + 2s * (1 + s)) = -11 ((1 * 15 + s * 15) + 2s * (1 + s)) = -11 ((15 + 15s) + 2s * (1 + s)) = -11 (15 + 15s + (1 * 2s + s * 2s)) = -11 (15 + 15s + (2s + 2s2)) = -11 Combine like terms: 15s + 2s = 17s (15 + 17s + 2s2) = -11 Solving 15 + 17s + 2s2 = -11 Solving for variable 's'. Reorder the terms: 15 + 11 + 17s + 2s2 = -11 + 11 Combine like terms: 15 + 11 = 26 26 + 17s + 2s2 = -11 + 11 Combine like terms: -11 + 11 = 0 26 + 17s + 2s2 = 0 Factor a trinomial. (13 + 2s)(2 + s) = 0Subproblem 1
Set the factor '(13 + 2s)' equal to zero and attempt to solve: Simplifying 13 + 2s = 0 Solving 13 + 2s = 0 Move all terms containing s to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 2s = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 2s = 0 + -13 2s = 0 + -13 Combine like terms: 0 + -13 = -13 2s = -13 Divide each side by '2'. s = -6.5 Simplifying s = -6.5Subproblem 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 = -2Solution
s = {-6.5, -2}
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