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Simplifying 7s(7s + 18) = -81 Reorder the terms: 7s(18 + 7s) = -81 (18 * 7s + 7s * 7s) = -81 (126s + 49s2) = -81 Solving 126s + 49s2 = -81 Solving for variable 's'. Reorder the terms: 81 + 126s + 49s2 = -81 + 81 Combine like terms: -81 + 81 = 0 81 + 126s + 49s2 = 0 Factor a trinomial. (9 + 7s)(9 + 7s) = 0Subproblem 1
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 = -1.285714286Subproblem 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 = {-1.285714286, -1.285714286}
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