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Simplifying s2 + -13s + -30 = 0 Reorder the terms: -30 + -13s + s2 = 0 Solving -30 + -13s + s2 = 0 Solving for variable 's'. Factor a trinomial. (-2 + -1s)(15 + -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 '(15 + -1s)' equal to zero and attempt to solve: Simplifying 15 + -1s = 0 Solving 15 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1s = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1s = 0 + -15 -1s = 0 + -15 Combine like terms: 0 + -15 = -15 -1s = -15 Divide each side by '-1'. s = 15 Simplifying s = 15Solution
s = {-2, 15}
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