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Simplifying 6s2 = 16 + 20s Solving 6s2 = 16 + 20s Solving for variable 's'. Reorder the terms: -16 + -20s + 6s2 = 16 + 20s + -16 + -20s Reorder the terms: -16 + -20s + 6s2 = 16 + -16 + 20s + -20s Combine like terms: 16 + -16 = 0 -16 + -20s + 6s2 = 0 + 20s + -20s -16 + -20s + 6s2 = 20s + -20s Combine like terms: 20s + -20s = 0 -16 + -20s + 6s2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-8 + -10s + 3s2) = 0 Factor a trinomial. 2((-2 + -3s)(4 + -1s)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-2 + -3s)' equal to zero and attempt to solve: Simplifying -2 + -3s = 0 Solving -2 + -3s = 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 + -3s = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -3s = 0 + 2 -3s = 0 + 2 Combine like terms: 0 + 2 = 2 -3s = 2 Divide each side by '-3'. s = -0.6666666667 Simplifying s = -0.6666666667Subproblem 2
Set the factor '(4 + -1s)' equal to zero and attempt to solve: Simplifying 4 + -1s = 0 Solving 4 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1s = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1s = 0 + -4 -1s = 0 + -4 Combine like terms: 0 + -4 = -4 -1s = -4 Divide each side by '-1'. s = 4 Simplifying s = 4Solution
s = {-0.6666666667, 4}
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