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Simplifying 3s2 + 2s + -16 = 0 Reorder the terms: -16 + 2s + 3s2 = 0 Solving -16 + 2s + 3s2 = 0 Solving for variable 's'. Factor a trinomial. (-8 + -3s)(2 + -1s) = 0Subproblem 1
Set the factor '(-8 + -3s)' equal to zero and attempt to solve: Simplifying -8 + -3s = 0 Solving -8 + -3s = 0 Move all terms containing s to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -3s = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -3s = 0 + 8 -3s = 0 + 8 Combine like terms: 0 + 8 = 8 -3s = 8 Divide each side by '-3'. s = -2.666666667 Simplifying s = -2.666666667Subproblem 2
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 = 2Solution
s = {-2.666666667, 2}
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