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Simplifying (s + 9)(s + -12) = 0 Reorder the terms: (9 + s)(s + -12) = 0 Reorder the terms: (9 + s)(-12 + s) = 0 Multiply (9 + s) * (-12 + s) (9(-12 + s) + s(-12 + s)) = 0 ((-12 * 9 + s * 9) + s(-12 + s)) = 0 ((-108 + 9s) + s(-12 + s)) = 0 (-108 + 9s + (-12 * s + s * s)) = 0 (-108 + 9s + (-12s + s2)) = 0 Combine like terms: 9s + -12s = -3s (-108 + -3s + s2) = 0 Solving -108 + -3s + s2 = 0 Solving for variable 's'. Factor a trinomial. (-9 + -1s)(12 + -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 '(12 + -1s)' equal to zero and attempt to solve: Simplifying 12 + -1s = 0 Solving 12 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1s = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1s = 0 + -12 -1s = 0 + -12 Combine like terms: 0 + -12 = -12 -1s = -12 Divide each side by '-1'. s = 12 Simplifying s = 12Solution
s = {-9, 12}
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