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Simplifying 36s + 30s2 + -66 = 0 Reorder the terms: -66 + 36s + 30s2 = 0 Solving -66 + 36s + 30s2 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), '6'. 6(-11 + 6s + 5s2) = 0 Factor a trinomial. 6((-11 + -5s)(1 + -1s)) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(-11 + -5s)' equal to zero and attempt to solve: Simplifying -11 + -5s = 0 Solving -11 + -5s = 0 Move all terms containing s to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -5s = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -5s = 0 + 11 -5s = 0 + 11 Combine like terms: 0 + 11 = 11 -5s = 11 Divide each side by '-5'. s = -2.2 Simplifying s = -2.2Subproblem 2
Set the factor '(1 + -1s)' equal to zero and attempt to solve: Simplifying 1 + -1s = 0 Solving 1 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1s = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1s = 0 + -1 -1s = 0 + -1 Combine like terms: 0 + -1 = -1 -1s = -1 Divide each side by '-1'. s = 1 Simplifying s = 1Solution
s = {-2.2, 1}
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