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Simplifying -4s2 + 400s + -10000 = 0 Reorder the terms: -10000 + 400s + -4s2 = 0 Solving -10000 + 400s + -4s2 = 0 Solving for variable 's'. Factor out the Greatest Common Factor (GCF), '4'. 4(-2500 + 100s + -1s2) = 0 Factor a trinomial. 4((-50 + s)(50 + -1s)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-50 + s)' equal to zero and attempt to solve: Simplifying -50 + s = 0 Solving -50 + s = 0 Move all terms containing s to the left, all other terms to the right. Add '50' to each side of the equation. -50 + 50 + s = 0 + 50 Combine like terms: -50 + 50 = 0 0 + s = 0 + 50 s = 0 + 50 Combine like terms: 0 + 50 = 50 s = 50 Simplifying s = 50Subproblem 2
Set the factor '(50 + -1s)' equal to zero and attempt to solve: Simplifying 50 + -1s = 0 Solving 50 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + -50 + -1s = 0 + -50 Combine like terms: 50 + -50 = 0 0 + -1s = 0 + -50 -1s = 0 + -50 Combine like terms: 0 + -50 = -50 -1s = -50 Divide each side by '-1'. s = 50 Simplifying s = 50Solution
s = {50, 50}
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