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Simplifying 75s2 + 55s + 10 = 0 Reorder the terms: 10 + 55s + 75s2 = 0 Solving 10 + 55s + 75s2 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), '5'. 5(2 + 11s + 15s2) = 0 Factor a trinomial. 5((2 + 5s)(1 + 3s)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(2 + 5s)' equal to zero and attempt to solve: Simplifying 2 + 5s = 0 Solving 2 + 5s = 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 + 5s = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5s = 0 + -2 5s = 0 + -2 Combine like terms: 0 + -2 = -2 5s = -2 Divide each side by '5'. s = -0.4 Simplifying s = -0.4Subproblem 2
Set the factor '(1 + 3s)' equal to zero and attempt to solve: Simplifying 1 + 3s = 0 Solving 1 + 3s = 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 + 3s = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3s = 0 + -1 3s = 0 + -1 Combine like terms: 0 + -1 = -1 3s = -1 Divide each side by '3'. s = -0.3333333333 Simplifying s = -0.3333333333Solution
s = {-0.4, -0.3333333333}
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