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Simplifying -36s2 + 3s + 105 = 0 Reorder the terms: 105 + 3s + -36s2 = 0 Solving 105 + 3s + -36s2 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), '3'. 3(35 + s + -12s2) = 0 Factor a trinomial. 3((7 + -4s)(5 + 3s)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(7 + -4s)' equal to zero and attempt to solve: Simplifying 7 + -4s = 0 Solving 7 + -4s = 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 + -4s = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -4s = 0 + -7 -4s = 0 + -7 Combine like terms: 0 + -7 = -7 -4s = -7 Divide each side by '-4'. s = 1.75 Simplifying s = 1.75Subproblem 2
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 = -1.666666667Solution
s = {1.75, -1.666666667}
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