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Simplifying 35s2 + -72s + 36 = 0 Reorder the terms: 36 + -72s + 35s2 = 0 Solving 36 + -72s + 35s2 = 0 Solving for variable 's'. Factor a trinomial. (6 + -7s)(6 + -5s) = 0Subproblem 1
Set the factor '(6 + -7s)' equal to zero and attempt to solve: Simplifying 6 + -7s = 0 Solving 6 + -7s = 0 Move all terms containing s to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -7s = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -7s = 0 + -6 -7s = 0 + -6 Combine like terms: 0 + -6 = -6 -7s = -6 Divide each side by '-7'. s = 0.8571428571 Simplifying s = 0.8571428571Subproblem 2
Set the factor '(6 + -5s)' equal to zero and attempt to solve: Simplifying 6 + -5s = 0 Solving 6 + -5s = 0 Move all terms containing s to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -5s = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -5s = 0 + -6 -5s = 0 + -6 Combine like terms: 0 + -6 = -6 -5s = -6 Divide each side by '-5'. s = 1.2 Simplifying s = 1.2Solution
s = {0.8571428571, 1.2}
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