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