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Simplifying 25s2 + 70s + 40 = 0 Reorder the terms: 40 + 70s + 25s2 = 0 Solving 40 + 70s + 25s2 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), '5'. 5(8 + 14s + 5s2) = 0 Factor a trinomial. 5((2 + s)(4 + 5s)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(2 + s)' equal to zero and attempt to solve: Simplifying 2 + s = 0 Solving 2 + s = 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 + s = 0 + -2 Combine like terms: 2 + -2 = 0 0 + s = 0 + -2 s = 0 + -2 Combine like terms: 0 + -2 = -2 s = -2 Simplifying s = -2Subproblem 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 = {-2, -0.8}
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