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Simplifying 600 = -1s2 + 75s + -750 Reorder the terms: 600 = -750 + 75s + -1s2 Solving 600 = -750 + 75s + -1s2 Solving for variable 's'. Combine like terms: 600 + 750 = 1350 1350 + -75s + s2 = -750 + 75s + -1s2 + 750 + -75s + s2 Reorder the terms: 1350 + -75s + s2 = -750 + 750 + 75s + -75s + -1s2 + s2 Combine like terms: -750 + 750 = 0 1350 + -75s + s2 = 0 + 75s + -75s + -1s2 + s2 1350 + -75s + s2 = 75s + -75s + -1s2 + s2 Combine like terms: 75s + -75s = 0 1350 + -75s + s2 = 0 + -1s2 + s2 1350 + -75s + s2 = -1s2 + s2 Combine like terms: -1s2 + s2 = 0 1350 + -75s + s2 = 0 Factor a trinomial. (30 + -1s)(45 + -1s) = 0Subproblem 1
Set the factor '(30 + -1s)' equal to zero and attempt to solve: Simplifying 30 + -1s = 0 Solving 30 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -1s = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -1s = 0 + -30 -1s = 0 + -30 Combine like terms: 0 + -30 = -30 -1s = -30 Divide each side by '-1'. s = 30 Simplifying s = 30Subproblem 2
Set the factor '(45 + -1s)' equal to zero and attempt to solve: Simplifying 45 + -1s = 0 Solving 45 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + -1s = 0 + -45 Combine like terms: 45 + -45 = 0 0 + -1s = 0 + -45 -1s = 0 + -45 Combine like terms: 0 + -45 = -45 -1s = -45 Divide each side by '-1'. s = 45 Simplifying s = 45Solution
s = {30, 45}
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