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Simplifying 12 = s2 + -4s Reorder the terms: 12 = -4s + s2 Solving 12 = -4s + s2 Solving for variable 's'. Reorder the terms: 12 + 4s + -1s2 = -4s + 4s + s2 + -1s2 Combine like terms: -4s + 4s = 0 12 + 4s + -1s2 = 0 + s2 + -1s2 12 + 4s + -1s2 = s2 + -1s2 Combine like terms: s2 + -1s2 = 0 12 + 4s + -1s2 = 0 Factor a trinomial. (6 + -1s)(2 + s) = 0Subproblem 1
Set the factor '(6 + -1s)' equal to zero and attempt to solve: Simplifying 6 + -1s = 0 Solving 6 + -1s = 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 + -1s = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1s = 0 + -6 -1s = 0 + -6 Combine like terms: 0 + -6 = -6 -1s = -6 Divide each side by '-1'. s = 6 Simplifying s = 6Subproblem 2
Set the factor '(2 + s)' equal to zero and attempt to solve: Simplifying 2 + s = 0 Solving 2 + s = 0 Move all terms containing s to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + s = 0 + -2 Combine like terms: 2 + -2 = 0 0 + s = 0 + -2 s = 0 + -2 Combine like terms: 0 + -2 = -2 s = -2 Simplifying s = -2Solution
s = {6, -2}
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