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Simplifying (s + 5)(s + -6) = 0 Reorder the terms: (5 + s)(s + -6) = 0 Reorder the terms: (5 + s)(-6 + s) = 0 Multiply (5 + s) * (-6 + s) (5(-6 + s) + s(-6 + s)) = 0 ((-6 * 5 + s * 5) + s(-6 + s)) = 0 ((-30 + 5s) + s(-6 + s)) = 0 (-30 + 5s + (-6 * s + s * s)) = 0 (-30 + 5s + (-6s + s2)) = 0 Combine like terms: 5s + -6s = -1s (-30 + -1s + s2) = 0 Solving -30 + -1s + s2 = 0 Solving for variable 's'. Factor a trinomial. (-5 + -1s)(6 + -1s) = 0Subproblem 1
Set the factor '(-5 + -1s)' equal to zero and attempt to solve: Simplifying -5 + -1s = 0 Solving -5 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -1s = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1s = 0 + 5 -1s = 0 + 5 Combine like terms: 0 + 5 = 5 -1s = 5 Divide each side by '-1'. s = -5 Simplifying s = -5Subproblem 2
Set the factor '(6 + -1s)' equal to zero and attempt to solve: Simplifying 6 + -1s = 0 Solving 6 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1s = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1s = 0 + -6 -1s = 0 + -6 Combine like terms: 0 + -6 = -6 -1s = -6 Divide each side by '-1'. s = 6 Simplifying s = 6Solution
s = {-5, 6}
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