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Simplifying (6s + 13)(s + 12) = 0 Reorder the terms: (13 + 6s)(s + 12) = 0 Reorder the terms: (13 + 6s)(12 + s) = 0 Multiply (13 + 6s) * (12 + s) (13(12 + s) + 6s * (12 + s)) = 0 ((12 * 13 + s * 13) + 6s * (12 + s)) = 0 ((156 + 13s) + 6s * (12 + s)) = 0 (156 + 13s + (12 * 6s + s * 6s)) = 0 (156 + 13s + (72s + 6s2)) = 0 Combine like terms: 13s + 72s = 85s (156 + 85s + 6s2) = 0 Solving 156 + 85s + 6s2 = 0 Solving for variable 's'. Factor a trinomial. (12 + s)(13 + 6s) = 0Subproblem 1
Set the factor '(12 + s)' equal to zero and attempt to solve: Simplifying 12 + s = 0 Solving 12 + s = 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 + s = 0 + -12 Combine like terms: 12 + -12 = 0 0 + s = 0 + -12 s = 0 + -12 Combine like terms: 0 + -12 = -12 s = -12 Simplifying s = -12Subproblem 2
Set the factor '(13 + 6s)' equal to zero and attempt to solve: Simplifying 13 + 6s = 0 Solving 13 + 6s = 0 Move all terms containing s to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 6s = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 6s = 0 + -13 6s = 0 + -13 Combine like terms: 0 + -13 = -13 6s = -13 Divide each side by '6'. s = -2.166666667 Simplifying s = -2.166666667Solution
s = {-12, -2.166666667}
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