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Simplifying 12s2 + -44s + 35 = 0 Reorder the terms: 35 + -44s + 12s2 = 0 Solving 35 + -44s + 12s2 = 0 Solving for variable 's'. Factor a trinomial. (7 + -6s)(5 + -2s) = 0Subproblem 1
Set the factor '(7 + -6s)' equal to zero and attempt to solve: Simplifying 7 + -6s = 0 Solving 7 + -6s = 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 + -6s = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -6s = 0 + -7 -6s = 0 + -7 Combine like terms: 0 + -7 = -7 -6s = -7 Divide each side by '-6'. s = 1.166666667 Simplifying s = 1.166666667Subproblem 2
Set the factor '(5 + -2s)' equal to zero and attempt to solve: Simplifying 5 + -2s = 0 Solving 5 + -2s = 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 + -2s = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2s = 0 + -5 -2s = 0 + -5 Combine like terms: 0 + -5 = -5 -2s = -5 Divide each side by '-2'. s = 2.5 Simplifying s = 2.5Solution
s = {1.166666667, 2.5}
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