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Simplifying s2 + -19s + -42 = 0 Reorder the terms: -42 + -19s + s2 = 0 Solving -42 + -19s + s2 = 0 Solving for variable 's'. Factor a trinomial. (-2 + -1s)(21 + -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 '(21 + -1s)' equal to zero and attempt to solve: Simplifying 21 + -1s = 0 Solving 21 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + -1s = 0 + -21 Combine like terms: 21 + -21 = 0 0 + -1s = 0 + -21 -1s = 0 + -21 Combine like terms: 0 + -21 = -21 -1s = -21 Divide each side by '-1'. s = 21 Simplifying s = 21Solution
s = {-2, 21}
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