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Simplifying (s + -5)(9s + 7) = 0 Reorder the terms: (-5 + s)(9s + 7) = 0 Reorder the terms: (-5 + s)(7 + 9s) = 0 Multiply (-5 + s) * (7 + 9s) (-5(7 + 9s) + s(7 + 9s)) = 0 ((7 * -5 + 9s * -5) + s(7 + 9s)) = 0 ((-35 + -45s) + s(7 + 9s)) = 0 (-35 + -45s + (7 * s + 9s * s)) = 0 (-35 + -45s + (7s + 9s2)) = 0 Combine like terms: -45s + 7s = -38s (-35 + -38s + 9s2) = 0 Solving -35 + -38s + 9s2 = 0 Solving for variable 's'. Factor a trinomial. (-7 + -9s)(5 + -1s) = 0Subproblem 1
Set the factor '(-7 + -9s)' equal to zero and attempt to solve: Simplifying -7 + -9s = 0 Solving -7 + -9s = 0 Move all terms containing s to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -9s = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -9s = 0 + 7 -9s = 0 + 7 Combine like terms: 0 + 7 = 7 -9s = 7 Divide each side by '-9'. s = -0.7777777778 Simplifying s = -0.7777777778Subproblem 2
Set the factor '(5 + -1s)' equal to zero and attempt to solve: Simplifying 5 + -1s = 0 Solving 5 + -1s = 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 + -1s = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1s = 0 + -5 -1s = 0 + -5 Combine like terms: 0 + -5 = -5 -1s = -5 Divide each side by '-1'. s = 5 Simplifying s = 5Solution
s = {-0.7777777778, 5}
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