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Simplifying 3s + -14 = 20s + -6s2 Reorder the terms: -14 + 3s = 20s + -6s2 Solving -14 + 3s = 20s + -6s2 Solving for variable 's'. Combine like terms: 3s + -20s = -17s -14 + -17s + 6s2 = 20s + -6s2 + -20s + 6s2 Reorder the terms: -14 + -17s + 6s2 = 20s + -20s + -6s2 + 6s2 Combine like terms: 20s + -20s = 0 -14 + -17s + 6s2 = 0 + -6s2 + 6s2 -14 + -17s + 6s2 = -6s2 + 6s2 Combine like terms: -6s2 + 6s2 = 0 -14 + -17s + 6s2 = 0 Factor a trinomial. (-2 + -3s)(7 + -2s) = 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 '(7 + -2s)' equal to zero and attempt to solve: Simplifying 7 + -2s = 0 Solving 7 + -2s = 0 Move all terms containing s to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -2s = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2s = 0 + -7 -2s = 0 + -7 Combine like terms: 0 + -7 = -7 -2s = -7 Divide each side by '-2'. s = 3.5 Simplifying s = 3.5Solution
s = {-0.6666666667, 3.5}
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