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Simplifying 30s2 + -55s + -175 = 0 Reorder the terms: -175 + -55s + 30s2 = 0 Solving -175 + -55s + 30s2 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), '5'. 5(-35 + -11s + 6s2) = 0 Factor a trinomial. 5((-5 + -3s)(7 + -2s)) = 0 Ignore the factor 5.Subproblem 1
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 = -1.666666667Subproblem 2
Set the factor '(7 + -2s)' equal to zero and attempt to solve: Simplifying 7 + -2s = 0 Solving 7 + -2s = 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 + -2s = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2s = 0 + -7 -2s = 0 + -7 Combine like terms: 0 + -7 = -7 -2s = -7 Divide each side by '-2'. s = 3.5 Simplifying s = 3.5Solution
s = {-1.666666667, 3.5}
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