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Simplifying 18 = s(s + -7) Reorder the terms: 18 = s(-7 + s) 18 = (-7 * s + s * s) 18 = (-7s + s2) Solving 18 = -7s + s2 Solving for variable 's'. Reorder the terms: 18 + 7s + -1s2 = -7s + 7s + s2 + -1s2 Combine like terms: -7s + 7s = 0 18 + 7s + -1s2 = 0 + s2 + -1s2 18 + 7s + -1s2 = s2 + -1s2 Combine like terms: s2 + -1s2 = 0 18 + 7s + -1s2 = 0 Factor a trinomial. (9 + -1s)(2 + s) = 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 '(2 + s)' equal to zero and attempt to solve: Simplifying 2 + s = 0 Solving 2 + s = 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 + s = 0 + -2 Combine like terms: 2 + -2 = 0 0 + s = 0 + -2 s = 0 + -2 Combine like terms: 0 + -2 = -2 s = -2 Simplifying s = -2Solution
s = {9, -2}
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