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Simplifying 32s2 = 4s Solving 32s2 = 4s Solving for variable 's'. Reorder the terms: -4s + 32s2 = 4s + -4s Combine like terms: 4s + -4s = 0 -4s + 32s2 = 0 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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