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Simplifying 4s(8s + 1) = 0 Reorder the terms: 4s(1 + 8s) = 0 (1 * 4s + 8s * 4s) = 0 (4s + 32s2) = 0 Solving 4s + 32s2 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), '4s'. 4s(1 + 8s) = 0 Ignore the factor 4.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 + 8s)' equal to zero and attempt to solve: Simplifying 1 + 8s = 0 Solving 1 + 8s = 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 + 8s = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 8s = 0 + -1 8s = 0 + -1 Combine like terms: 0 + -1 = -1 8s = -1 Divide each side by '8'. s = -0.125 Simplifying s = -0.125Solution
s = {0, -0.125}
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