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Simplifying s2 = -24 + -10s Solving s2 = -24 + -10s Solving for variable 's'. Reorder the terms: 24 + 10s + s2 = -24 + -10s + 24 + 10s Reorder the terms: 24 + 10s + s2 = -24 + 24 + -10s + 10s Combine like terms: -24 + 24 = 0 24 + 10s + s2 = 0 + -10s + 10s 24 + 10s + s2 = -10s + 10s Combine like terms: -10s + 10s = 0 24 + 10s + s2 = 0 Factor a trinomial. (6 + s)(4 + s) = 0Subproblem 1
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 = -6Subproblem 2
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 = -4Solution
s = {-6, -4}
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