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Simplifying 3s(8s + 5) = 0 Reorder the terms: 3s(5 + 8s) = 0 (5 * 3s + 8s * 3s) = 0 (15s + 24s2) = 0 Solving 15s + 24s2 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), '3s'. 3s(5 + 8s) = 0 Ignore the factor 3.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 '(5 + 8s)' equal to zero and attempt to solve: Simplifying 5 + 8s = 0 Solving 5 + 8s = 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 + 8s = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 8s = 0 + -5 8s = 0 + -5 Combine like terms: 0 + -5 = -5 8s = -5 Divide each side by '8'. s = -0.625 Simplifying s = -0.625Solution
s = {0, -0.625}
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