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Simplifying (s + 16)(s + 81) = 0 Reorder the terms: (16 + s)(s + 81) = 0 Reorder the terms: (16 + s)(81 + s) = 0 Multiply (16 + s) * (81 + s) (16(81 + s) + s(81 + s)) = 0 ((81 * 16 + s * 16) + s(81 + s)) = 0 ((1296 + 16s) + s(81 + s)) = 0 (1296 + 16s + (81 * s + s * s)) = 0 (1296 + 16s + (81s + s2)) = 0 Combine like terms: 16s + 81s = 97s (1296 + 97s + s2) = 0 Solving 1296 + 97s + s2 = 0 Solving for variable 's'. Factor a trinomial. (81 + s)(16 + s) = 0Subproblem 1
Set the factor '(81 + s)' equal to zero and attempt to solve: Simplifying 81 + s = 0 Solving 81 + s = 0 Move all terms containing s to the left, all other terms to the right. Add '-81' to each side of the equation. 81 + -81 + s = 0 + -81 Combine like terms: 81 + -81 = 0 0 + s = 0 + -81 s = 0 + -81 Combine like terms: 0 + -81 = -81 s = -81 Simplifying s = -81Subproblem 2
Set the factor '(16 + s)' equal to zero and attempt to solve: Simplifying 16 + s = 0 Solving 16 + s = 0 Move all terms containing s to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + s = 0 + -16 Combine like terms: 16 + -16 = 0 0 + s = 0 + -16 s = 0 + -16 Combine like terms: 0 + -16 = -16 s = -16 Simplifying s = -16Solution
s = {-81, -16}
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