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Simplifying 0 = -20s2 + 1400s + -12000 Reorder the terms: 0 = -12000 + 1400s + -20s2 Solving 0 = -12000 + 1400s + -20s2 Solving for variable 's'. Combine like terms: 0 + 12000 = 12000 12000 + -1400s + 20s2 = -12000 + 1400s + -20s2 + 12000 + -1400s + 20s2 Reorder the terms: 12000 + -1400s + 20s2 = -12000 + 12000 + 1400s + -1400s + -20s2 + 20s2 Combine like terms: -12000 + 12000 = 0 12000 + -1400s + 20s2 = 0 + 1400s + -1400s + -20s2 + 20s2 12000 + -1400s + 20s2 = 1400s + -1400s + -20s2 + 20s2 Combine like terms: 1400s + -1400s = 0 12000 + -1400s + 20s2 = 0 + -20s2 + 20s2 12000 + -1400s + 20s2 = -20s2 + 20s2 Combine like terms: -20s2 + 20s2 = 0 12000 + -1400s + 20s2 = 0 Factor out the Greatest Common Factor (GCF), '20'. 20(600 + -70s + s2) = 0 Factor a trinomial. 20((10 + -1s)(60 + -1s)) = 0 Ignore the factor 20.Subproblem 1
Set the factor '(10 + -1s)' equal to zero and attempt to solve: Simplifying 10 + -1s = 0 Solving 10 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1s = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1s = 0 + -10 -1s = 0 + -10 Combine like terms: 0 + -10 = -10 -1s = -10 Divide each side by '-1'. s = 10 Simplifying s = 10Subproblem 2
Set the factor '(60 + -1s)' equal to zero and attempt to solve: Simplifying 60 + -1s = 0 Solving 60 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -60 + -1s = 0 + -60 Combine like terms: 60 + -60 = 0 0 + -1s = 0 + -60 -1s = 0 + -60 Combine like terms: 0 + -60 = -60 -1s = -60 Divide each side by '-1'. s = 60 Simplifying s = 60Solution
s = {10, 60}
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