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Simplifying (s + 12)(s + -14) = 0 Reorder the terms: (12 + s)(s + -14) = 0 Reorder the terms: (12 + s)(-14 + s) = 0 Multiply (12 + s) * (-14 + s) (12(-14 + s) + s(-14 + s)) = 0 ((-14 * 12 + s * 12) + s(-14 + s)) = 0 ((-168 + 12s) + s(-14 + s)) = 0 (-168 + 12s + (-14 * s + s * s)) = 0 (-168 + 12s + (-14s + s2)) = 0 Combine like terms: 12s + -14s = -2s (-168 + -2s + s2) = 0 Solving -168 + -2s + s2 = 0 Solving for variable 's'. Factor a trinomial. (-12 + -1s)(14 + -1s) = 0Subproblem 1
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 = -12Subproblem 2
Set the factor '(14 + -1s)' equal to zero and attempt to solve: Simplifying 14 + -1s = 0 Solving 14 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -1s = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -1s = 0 + -14 -1s = 0 + -14 Combine like terms: 0 + -14 = -14 -1s = -14 Divide each side by '-1'. s = 14 Simplifying s = 14Solution
s = {-12, 14}
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