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Simplifying s2 = 45 + -4s Solving s2 = 45 + -4s Solving for variable 's'. Reorder the terms: -45 + 4s + s2 = 45 + -4s + -45 + 4s Reorder the terms: -45 + 4s + s2 = 45 + -45 + -4s + 4s Combine like terms: 45 + -45 = 0 -45 + 4s + s2 = 0 + -4s + 4s -45 + 4s + s2 = -4s + 4s Combine like terms: -4s + 4s = 0 -45 + 4s + s2 = 0 Factor a trinomial. (-9 + -1s)(5 + -1s) = 0Subproblem 1
Set the factor '(-9 + -1s)' equal to zero and attempt to solve: Simplifying -9 + -1s = 0 Solving -9 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -1s = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1s = 0 + 9 -1s = 0 + 9 Combine like terms: 0 + 9 = 9 -1s = 9 Divide each side by '-1'. s = -9 Simplifying s = -9Subproblem 2
Set the factor '(5 + -1s)' equal to zero and attempt to solve: Simplifying 5 + -1s = 0 Solving 5 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1s = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1s = 0 + -5 -1s = 0 + -5 Combine like terms: 0 + -5 = -5 -1s = -5 Divide each side by '-1'. s = 5 Simplifying s = 5Solution
s = {-9, 5}
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