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Simplifying (2(s + 2)(s + 2)) + -1(17(s + 2)) + -9 = 0 Reorder the terms: (2(2 + s)(s + 2)) + -1(17(s + 2)) + -9 = 0 Reorder the terms: (2(2 + s)(2 + s)) + -1(17(s + 2)) + -9 = 0 Multiply (2 + s) * (2 + s) (2(2(2 + s) + s(2 + s))) + -1(17(s + 2)) + -9 = 0 (2((2 * 2 + s * 2) + s(2 + s))) + -1(17(s + 2)) + -9 = 0 (2((4 + 2s) + s(2 + s))) + -1(17(s + 2)) + -9 = 0 (2(4 + 2s + (2 * s + s * s))) + -1(17(s + 2)) + -9 = 0 (2(4 + 2s + (2s + s2))) + -1(17(s + 2)) + -9 = 0 Combine like terms: 2s + 2s = 4s (2(4 + 4s + s2)) + -1(17(s + 2)) + -9 = 0 ((4 * 2 + 4s * 2 + s2 * 2)) + -1(17(s + 2)) + -9 = 0 ((8 + 8s + 2s2)) + -1(17(s + 2)) + -9 = 0 (8 + 8s + 2s2) + -1(17(s + 2)) + -9 = 0 Remove parenthesis around (8 + 8s + 2s2) 8 + 8s + 2s2 + -1(17(s + 2)) + -9 = 0 Reorder the terms: 8 + 8s + 2s2 + -1(17(2 + s)) + -9 = 0 8 + 8s + 2s2 + -1((2 * 17 + s * 17)) + -9 = 0 8 + 8s + 2s2 + -1((34 + 17s)) + -9 = 0 8 + 8s + 2s2 + (34 * -1 + 17s * -1) + -9 = 0 8 + 8s + 2s2 + (-34 + -17s) + -9 = 0 Reorder the terms: 8 + -34 + -9 + 8s + -17s + 2s2 = 0 Combine like terms: 8 + -34 = -26 -26 + -9 + 8s + -17s + 2s2 = 0 Combine like terms: -26 + -9 = -35 -35 + 8s + -17s + 2s2 = 0 Combine like terms: 8s + -17s = -9s -35 + -9s + 2s2 = 0 Solving -35 + -9s + 2s2 = 0 Solving for variable 's'. Factor a trinomial. (-5 + -2s)(7 + -1s) = 0Subproblem 1
Set the factor '(-5 + -2s)' equal to zero and attempt to solve: Simplifying -5 + -2s = 0 Solving -5 + -2s = 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 + -2s = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -2s = 0 + 5 -2s = 0 + 5 Combine like terms: 0 + 5 = 5 -2s = 5 Divide each side by '-2'. s = -2.5 Simplifying s = -2.5Subproblem 2
Set the factor '(7 + -1s)' equal to zero and attempt to solve: Simplifying 7 + -1s = 0 Solving 7 + -1s = 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 + -1s = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1s = 0 + -7 -1s = 0 + -7 Combine like terms: 0 + -7 = -7 -1s = -7 Divide each side by '-1'. s = 7 Simplifying s = 7Solution
s = {-2.5, 7}
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