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Simplifying (6s2 + 5s + -16) + (-5s2 + -8s + 6) = 0 Reorder the terms: (-16 + 5s + 6s2) + (-5s2 + -8s + 6) = 0 Remove parenthesis around (-16 + 5s + 6s2) -16 + 5s + 6s2 + (-5s2 + -8s + 6) = 0 Reorder the terms: -16 + 5s + 6s2 + (6 + -8s + -5s2) = 0 Remove parenthesis around (6 + -8s + -5s2) -16 + 5s + 6s2 + 6 + -8s + -5s2 = 0 Reorder the terms: -16 + 6 + 5s + -8s + 6s2 + -5s2 = 0 Combine like terms: -16 + 6 = -10 -10 + 5s + -8s + 6s2 + -5s2 = 0 Combine like terms: 5s + -8s = -3s -10 + -3s + 6s2 + -5s2 = 0 Combine like terms: 6s2 + -5s2 = 1s2 -10 + -3s + 1s2 = 0 Solving -10 + -3s + 1s2 = 0 Solving for variable 's'. Factor a trinomial. (-2 + -1s)(5 + -1s) = 0Subproblem 1
Set the factor '(-2 + -1s)' equal to zero and attempt to solve: Simplifying -2 + -1s = 0 Solving -2 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1s = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1s = 0 + 2 -1s = 0 + 2 Combine like terms: 0 + 2 = 2 -1s = 2 Divide each side by '-1'. s = -2 Simplifying s = -2Subproblem 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 = {-2, 5}
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