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Simplifying 25s2 + 20s = 0 Reorder the terms: 20s + 25s2 = 0 Solving 20s + 25s2 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), '5s'. 5s(4 + 5s) = 0 Ignore the factor 5.Subproblem 1
Set the factor 's' equal to zero and attempt to solve: Simplifying s = 0 Solving s = 0 Move all terms containing s to the left, all other terms to the right. Simplifying s = 0Subproblem 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, -0.8}
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