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Simplifying 1560 = s2 + 22s Reorder the terms: 1560 = 22s + s2 Solving 1560 = 22s + s2 Solving for variable 's'. Reorder the terms: 1560 + -22s + -1s2 = 22s + -22s + s2 + -1s2 Combine like terms: 22s + -22s = 0 1560 + -22s + -1s2 = 0 + s2 + -1s2 1560 + -22s + -1s2 = s2 + -1s2 Combine like terms: s2 + -1s2 = 0 1560 + -22s + -1s2 = 0 Factor a trinomial. (30 + -1s)(52 + s) = 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 '(52 + s)' equal to zero and attempt to solve: Simplifying 52 + s = 0 Solving 52 + s = 0 Move all terms containing s to the left, all other terms to the right. Add '-52' to each side of the equation. 52 + -52 + s = 0 + -52 Combine like terms: 52 + -52 = 0 0 + s = 0 + -52 s = 0 + -52 Combine like terms: 0 + -52 = -52 s = -52 Simplifying s = -52Solution
s = {30, -52}
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