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Simplifying (s + 7)(s + -18) = 0 Reorder the terms: (7 + s)(s + -18) = 0 Reorder the terms: (7 + s)(-18 + s) = 0 Multiply (7 + s) * (-18 + s) (7(-18 + s) + s(-18 + s)) = 0 ((-18 * 7 + s * 7) + s(-18 + s)) = 0 ((-126 + 7s) + s(-18 + s)) = 0 (-126 + 7s + (-18 * s + s * s)) = 0 (-126 + 7s + (-18s + s2)) = 0 Combine like terms: 7s + -18s = -11s (-126 + -11s + s2) = 0 Solving -126 + -11s + s2 = 0 Solving for variable 's'. Factor a trinomial. (-7 + -1s)(18 + -1s) = 0Subproblem 1
Set the factor '(-7 + -1s)' equal to zero and attempt to solve: Simplifying -7 + -1s = 0 Solving -7 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -1s = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1s = 0 + 7 -1s = 0 + 7 Combine like terms: 0 + 7 = 7 -1s = 7 Divide each side by '-1'. s = -7 Simplifying s = -7Subproblem 2
Set the factor '(18 + -1s)' equal to zero and attempt to solve: Simplifying 18 + -1s = 0 Solving 18 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -1s = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -1s = 0 + -18 -1s = 0 + -18 Combine like terms: 0 + -18 = -18 -1s = -18 Divide each side by '-1'. s = 18 Simplifying s = 18Solution
s = {-7, 18}
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