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Simplifying 50s2 + 80s + 32 = 0 Reorder the terms: 32 + 80s + 50s2 = 0 Solving 32 + 80s + 50s2 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), '2'. 2(16 + 40s + 25s2) = 0 Factor a trinomial. 2((4 + 5s)(4 + 5s)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(4 + 5s)' equal to zero and attempt to solve: Simplifying 4 + 5s = 0 Solving 4 + 5s = 0 Move all terms containing s to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 5s = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5s = 0 + -4 5s = 0 + -4 Combine like terms: 0 + -4 = -4 5s = -4 Divide each side by '5'. s = -0.8 Simplifying s = -0.8Subproblem 2
Set the factor '(4 + 5s)' equal to zero and attempt to solve: Simplifying 4 + 5s = 0 Solving 4 + 5s = 0 Move all terms containing s to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 5s = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5s = 0 + -4 5s = 0 + -4 Combine like terms: 0 + -4 = -4 5s = -4 Divide each side by '5'. s = -0.8 Simplifying s = -0.8Solution
s = {-0.8, -0.8}
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