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Simplifying 0 = 12s2 + -17s + -5 Reorder the terms: 0 = -5 + -17s + 12s2 Solving 0 = -5 + -17s + 12s2 Solving for variable 's'. Combine like terms: 0 + 5 = 5 5 + 17s + -12s2 = -5 + -17s + 12s2 + 5 + 17s + -12s2 Reorder the terms: 5 + 17s + -12s2 = -5 + 5 + -17s + 17s + 12s2 + -12s2 Combine like terms: -5 + 5 = 0 5 + 17s + -12s2 = 0 + -17s + 17s + 12s2 + -12s2 5 + 17s + -12s2 = -17s + 17s + 12s2 + -12s2 Combine like terms: -17s + 17s = 0 5 + 17s + -12s2 = 0 + 12s2 + -12s2 5 + 17s + -12s2 = 12s2 + -12s2 Combine like terms: 12s2 + -12s2 = 0 5 + 17s + -12s2 = 0 Factor a trinomial. (5 + -3s)(1 + 4s) = 0Subproblem 1
Set the factor '(5 + -3s)' equal to zero and attempt to solve: Simplifying 5 + -3s = 0 Solving 5 + -3s = 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 + -3s = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3s = 0 + -5 -3s = 0 + -5 Combine like terms: 0 + -5 = -5 -3s = -5 Divide each side by '-3'. s = 1.666666667 Simplifying s = 1.666666667Subproblem 2
Set the factor '(1 + 4s)' equal to zero and attempt to solve: Simplifying 1 + 4s = 0 Solving 1 + 4s = 0 Move all terms containing s to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 4s = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4s = 0 + -1 4s = 0 + -1 Combine like terms: 0 + -1 = -1 4s = -1 Divide each side by '4'. s = -0.25 Simplifying s = -0.25Solution
s = {1.666666667, -0.25}
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