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Simplifying s2 = -54 + -15s Solving s2 = -54 + -15s Solving for variable 's'. Reorder the terms: 54 + 15s + s2 = -54 + -15s + 54 + 15s Reorder the terms: 54 + 15s + s2 = -54 + 54 + -15s + 15s Combine like terms: -54 + 54 = 0 54 + 15s + s2 = 0 + -15s + 15s 54 + 15s + s2 = -15s + 15s Combine like terms: -15s + 15s = 0 54 + 15s + s2 = 0 Factor a trinomial. (9 + s)(6 + s) = 0Subproblem 1
Set the factor '(9 + s)' equal to zero and attempt to solve: Simplifying 9 + s = 0 Solving 9 + s = 0 Move all terms containing s to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + s = 0 + -9 Combine like terms: 9 + -9 = 0 0 + s = 0 + -9 s = 0 + -9 Combine like terms: 0 + -9 = -9 s = -9 Simplifying s = -9Subproblem 2
Set the factor '(6 + s)' equal to zero and attempt to solve: Simplifying 6 + s = 0 Solving 6 + s = 0 Move all terms containing s to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + s = 0 + -6 Combine like terms: 6 + -6 = 0 0 + s = 0 + -6 s = 0 + -6 Combine like terms: 0 + -6 = -6 s = -6 Simplifying s = -6Solution
s = {-9, -6}
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