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Simplifying (9s + -5)(s + 9) = 0 Reorder the terms: (-5 + 9s)(s + 9) = 0 Reorder the terms: (-5 + 9s)(9 + s) = 0 Multiply (-5 + 9s) * (9 + s) (-5(9 + s) + 9s * (9 + s)) = 0 ((9 * -5 + s * -5) + 9s * (9 + s)) = 0 ((-45 + -5s) + 9s * (9 + s)) = 0 (-45 + -5s + (9 * 9s + s * 9s)) = 0 (-45 + -5s + (81s + 9s2)) = 0 Combine like terms: -5s + 81s = 76s (-45 + 76s + 9s2) = 0 Solving -45 + 76s + 9s2 = 0 Solving for variable 's'. Factor a trinomial. (-9 + -1s)(5 + -9s) = 0Subproblem 1
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 = -9Subproblem 2
Set the factor '(5 + -9s)' equal to zero and attempt to solve: Simplifying 5 + -9s = 0 Solving 5 + -9s = 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 + -9s = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -9s = 0 + -5 -9s = 0 + -5 Combine like terms: 0 + -5 = -5 -9s = -5 Divide each side by '-9'. s = 0.5555555556 Simplifying s = 0.5555555556Solution
s = {-9, 0.5555555556}
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