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Simplifying 3s2 = 22s + 16 Reorder the terms: 3s2 = 16 + 22s Solving 3s2 = 16 + 22s Solving for variable 's'. Reorder the terms: -16 + -22s + 3s2 = 16 + 22s + -16 + -22s Reorder the terms: -16 + -22s + 3s2 = 16 + -16 + 22s + -22s Combine like terms: 16 + -16 = 0 -16 + -22s + 3s2 = 0 + 22s + -22s -16 + -22s + 3s2 = 22s + -22s Combine like terms: 22s + -22s = 0 -16 + -22s + 3s2 = 0 Factor a trinomial. (-2 + -3s)(8 + -1s) = 0Subproblem 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 '(8 + -1s)' equal to zero and attempt to solve: Simplifying 8 + -1s = 0 Solving 8 + -1s = 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 + -1s = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1s = 0 + -8 -1s = 0 + -8 Combine like terms: 0 + -8 = -8 -1s = -8 Divide each side by '-1'. s = 8 Simplifying s = 8Solution
s = {-0.6666666667, 8}
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