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Simplifying 8s(4s + -3) = 0 Reorder the terms: 8s(-3 + 4s) = 0 (-3 * 8s + 4s * 8s) = 0 (-24s + 32s2) = 0 Solving -24s + 32s2 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), '8s'. 8s(-3 + 4s) = 0 Ignore the factor 8.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 '(-3 + 4s)' equal to zero and attempt to solve: Simplifying -3 + 4s = 0 Solving -3 + 4s = 0 Move all terms containing s to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 4s = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 4s = 0 + 3 4s = 0 + 3 Combine like terms: 0 + 3 = 3 4s = 3 Divide each side by '4'. s = 0.75 Simplifying s = 0.75Solution
s = {0, 0.75}
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