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Simplifying -16s2 + 20s + 4 = 4 Reorder the terms: 4 + 20s + -16s2 = 4 Add '-4' to each side of the equation. 4 + 20s + -4 + -16s2 = 4 + -4 Reorder the terms: 4 + -4 + 20s + -16s2 = 4 + -4 Combine like terms: 4 + -4 = 0 0 + 20s + -16s2 = 4 + -4 20s + -16s2 = 4 + -4 Combine like terms: 4 + -4 = 0 20s + -16s2 = 0 Solving 20s + -16s2 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), '4s'. 4s(5 + -4s) = 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 '(5 + -4s)' equal to zero and attempt to solve: Simplifying 5 + -4s = 0 Solving 5 + -4s = 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 + -4s = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4s = 0 + -5 -4s = 0 + -5 Combine like terms: 0 + -5 = -5 -4s = -5 Divide each side by '-4'. s = 1.25 Simplifying s = 1.25Solution
s = {0, 1.25}
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