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Simplifying 8s2 + 2s = 0 Reorder the terms: 2s + 8s2 = 0 Solving 2s + 8s2 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), '2s'. 2s(1 + 4s) = 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 '(1 + 4s)' equal to zero and attempt to solve: Simplifying 1 + 4s = 0 Solving 1 + 4s = 0 Move all terms containing s to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 4s = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4s = 0 + -1 4s = 0 + -1 Combine like terms: 0 + -1 = -1 4s = -1 Divide each side by '4'. s = -0.25 Simplifying s = -0.25Solution
s = {0, -0.25}
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