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Simplifying (s + 5)(s + -12) = 0 Reorder the terms: (5 + s)(s + -12) = 0 Reorder the terms: (5 + s)(-12 + s) = 0 Multiply (5 + s) * (-12 + s) (5(-12 + s) + s(-12 + s)) = 0 ((-12 * 5 + s * 5) + s(-12 + s)) = 0 ((-60 + 5s) + s(-12 + s)) = 0 (-60 + 5s + (-12 * s + s * s)) = 0 (-60 + 5s + (-12s + s2)) = 0 Combine like terms: 5s + -12s = -7s (-60 + -7s + s2) = 0 Solving -60 + -7s + s2 = 0 Solving for variable 's'. Factor a trinomial. (-5 + -1s)(12 + -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 '(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 = {-5, 12}
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