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Simplifying 4s2 + 12s2 + 10s = 0 Reorder the terms: 10s + 4s2 + 12s2 = 0 Combine like terms: 4s2 + 12s2 = 16s2 10s + 16s2 = 0 Solving 10s + 16s2 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), '2s'. 2s(5 + 8s) = 0 Ignore the factor 2.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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