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Simplifying s2 + -25s + 24 = 0 Reorder the terms: 24 + -25s + s2 = 0 Solving 24 + -25s + s2 = 0 Solving for variable 's'. Factor a trinomial. (1 + -1s)(24 + -1s) = 0Subproblem 1
Set the factor '(1 + -1s)' equal to zero and attempt to solve: Simplifying 1 + -1s = 0 Solving 1 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1s = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1s = 0 + -1 -1s = 0 + -1 Combine like terms: 0 + -1 = -1 -1s = -1 Divide each side by '-1'. s = 1 Simplifying s = 1Subproblem 2
Set the factor '(24 + -1s)' equal to zero and attempt to solve: Simplifying 24 + -1s = 0 Solving 24 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -1s = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -1s = 0 + -24 -1s = 0 + -24 Combine like terms: 0 + -24 = -24 -1s = -24 Divide each side by '-1'. s = 24 Simplifying s = 24Solution
s = {1, 24}
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