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Simplifying s(s + -5) = 36 Reorder the terms: s(-5 + s) = 36 (-5 * s + s * s) = 36 (-5s + s2) = 36 Solving -5s + s2 = 36 Solving for variable 's'. Reorder the terms: -36 + -5s + s2 = 36 + -36 Combine like terms: 36 + -36 = 0 -36 + -5s + s2 = 0 Factor a trinomial. (-4 + -1s)(9 + -1s) = 0Subproblem 1
Set the factor '(-4 + -1s)' equal to zero and attempt to solve: Simplifying -4 + -1s = 0 Solving -4 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1s = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1s = 0 + 4 -1s = 0 + 4 Combine like terms: 0 + 4 = 4 -1s = 4 Divide each side by '-1'. s = -4 Simplifying s = -4Subproblem 2
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 = 9Solution
s = {-4, 9}
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