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Simplifying (s + -9)(s + 81) = 0 Reorder the terms: (-9 + s)(s + 81) = 0 Reorder the terms: (-9 + s)(81 + s) = 0 Multiply (-9 + s) * (81 + s) (-9(81 + s) + s(81 + s)) = 0 ((81 * -9 + s * -9) + s(81 + s)) = 0 ((-729 + -9s) + s(81 + s)) = 0 (-729 + -9s + (81 * s + s * s)) = 0 (-729 + -9s + (81s + s2)) = 0 Combine like terms: -9s + 81s = 72s (-729 + 72s + s2) = 0 Solving -729 + 72s + s2 = 0 Solving for variable 's'. Factor a trinomial. (-81 + -1s)(9 + -1s) = 0Subproblem 1
Set the factor '(-81 + -1s)' equal to zero and attempt to solve: Simplifying -81 + -1s = 0 Solving -81 + -1s = 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 + -1s = 0 + 81 Combine like terms: -81 + 81 = 0 0 + -1s = 0 + 81 -1s = 0 + 81 Combine like terms: 0 + 81 = 81 -1s = 81 Divide each side by '-1'. s = -81 Simplifying s = -81Subproblem 2
Set the factor '(9 + -1s)' equal to zero and attempt to solve: Simplifying 9 + -1s = 0 Solving 9 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1s = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1s = 0 + -9 -1s = 0 + -9 Combine like terms: 0 + -9 = -9 -1s = -9 Divide each side by '-1'. s = 9 Simplifying s = 9Solution
s = {-81, 9}
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