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Simplifying s2 = -12 + -7s Solving s2 = -12 + -7s Solving for variable 's'. Reorder the terms: 12 + 7s + s2 = -12 + -7s + 12 + 7s Reorder the terms: 12 + 7s + s2 = -12 + 12 + -7s + 7s Combine like terms: -12 + 12 = 0 12 + 7s + s2 = 0 + -7s + 7s 12 + 7s + s2 = -7s + 7s Combine like terms: -7s + 7s = 0 12 + 7s + s2 = 0 Factor a trinomial. (4 + s)(3 + s) = 0Subproblem 1
Set the factor '(4 + s)' equal to zero and attempt to solve: Simplifying 4 + s = 0 Solving 4 + s = 0 Move all terms containing s to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + s = 0 + -4 Combine like terms: 4 + -4 = 0 0 + s = 0 + -4 s = 0 + -4 Combine like terms: 0 + -4 = -4 s = -4 Simplifying s = -4Subproblem 2
Set the factor '(3 + s)' equal to zero and attempt to solve: Simplifying 3 + s = 0 Solving 3 + s = 0 Move all terms containing s to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + s = 0 + -3 Combine like terms: 3 + -3 = 0 0 + s = 0 + -3 s = 0 + -3 Combine like terms: 0 + -3 = -3 s = -3 Simplifying s = -3Solution
s = {-4, -3}
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