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Simplifying 6s2 = 17s + -12 Reorder the terms: 6s2 = -12 + 17s Solving 6s2 = -12 + 17s Solving for variable 's'. Reorder the terms: 12 + -17s + 6s2 = -12 + 17s + 12 + -17s Reorder the terms: 12 + -17s + 6s2 = -12 + 12 + 17s + -17s Combine like terms: -12 + 12 = 0 12 + -17s + 6s2 = 0 + 17s + -17s 12 + -17s + 6s2 = 17s + -17s Combine like terms: 17s + -17s = 0 12 + -17s + 6s2 = 0 Factor a trinomial. (4 + -3s)(3 + -2s) = 0Subproblem 1
Set the factor '(4 + -3s)' equal to zero and attempt to solve: Simplifying 4 + -3s = 0 Solving 4 + -3s = 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 + -3s = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3s = 0 + -4 -3s = 0 + -4 Combine like terms: 0 + -4 = -4 -3s = -4 Divide each side by '-3'. s = 1.333333333 Simplifying s = 1.333333333Subproblem 2
Set the factor '(3 + -2s)' equal to zero and attempt to solve: Simplifying 3 + -2s = 0 Solving 3 + -2s = 0 Move all terms containing s to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2s = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2s = 0 + -3 -2s = 0 + -3 Combine like terms: 0 + -3 = -3 -2s = -3 Divide each side by '-2'. s = 1.5 Simplifying s = 1.5Solution
s = {1.333333333, 1.5}
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