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Simplifying -7s2 + 26s + 45 = 0 Reorder the terms: 45 + 26s + -7s2 = 0 Solving 45 + 26s + -7s2 = 0 Solving for variable 's'. Factor a trinomial. (5 + -1s)(9 + 7s) = 0Subproblem 1
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 = 5Subproblem 2
Set the factor '(9 + 7s)' equal to zero and attempt to solve: Simplifying 9 + 7s = 0 Solving 9 + 7s = 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 + 7s = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 7s = 0 + -9 7s = 0 + -9 Combine like terms: 0 + -9 = -9 7s = -9 Divide each side by '7'. s = -1.285714286 Simplifying s = -1.285714286Solution
s = {5, -1.285714286}
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