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Simplifying (s + 9)(s + -15) = 0 Reorder the terms: (9 + s)(s + -15) = 0 Reorder the terms: (9 + s)(-15 + s) = 0 Multiply (9 + s) * (-15 + s) (9(-15 + s) + s(-15 + s)) = 0 ((-15 * 9 + s * 9) + s(-15 + s)) = 0 ((-135 + 9s) + s(-15 + s)) = 0 (-135 + 9s + (-15 * s + s * s)) = 0 (-135 + 9s + (-15s + s2)) = 0 Combine like terms: 9s + -15s = -6s (-135 + -6s + s2) = 0 Solving -135 + -6s + s2 = 0 Solving for variable 's'. Factor a trinomial. (-9 + -1s)(15 + -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 '(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 = {-9, 15}
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