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Simplifying s2 + -24s + 44 = 0 Reorder the terms: 44 + -24s + s2 = 0 Solving 44 + -24s + s2 = 0 Solving for variable 's'. Factor a trinomial. (2 + -1s)(22 + -1s) = 0Subproblem 1
Set the factor '(2 + -1s)' equal to zero and attempt to solve: Simplifying 2 + -1s = 0 Solving 2 + -1s = 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 + -1s = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1s = 0 + -2 -1s = 0 + -2 Combine like terms: 0 + -2 = -2 -1s = -2 Divide each side by '-1'. s = 2 Simplifying s = 2Subproblem 2
Set the factor '(22 + -1s)' equal to zero and attempt to solve: Simplifying 22 + -1s = 0 Solving 22 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + -1s = 0 + -22 Combine like terms: 22 + -22 = 0 0 + -1s = 0 + -22 -1s = 0 + -22 Combine like terms: 0 + -22 = -22 -1s = -22 Divide each side by '-1'. s = 22 Simplifying s = 22Solution
s = {2, 22}
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