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Simplifying (6v + 13)(v + 12) = 0 Reorder the terms: (13 + 6v)(v + 12) = 0 Reorder the terms: (13 + 6v)(12 + v) = 0 Multiply (13 + 6v) * (12 + v) (13(12 + v) + 6v * (12 + v)) = 0 ((12 * 13 + v * 13) + 6v * (12 + v)) = 0 ((156 + 13v) + 6v * (12 + v)) = 0 (156 + 13v + (12 * 6v + v * 6v)) = 0 (156 + 13v + (72v + 6v2)) = 0 Combine like terms: 13v + 72v = 85v (156 + 85v + 6v2) = 0 Solving 156 + 85v + 6v2 = 0 Solving for variable 'v'. Factor a trinomial. (12 + v)(13 + 6v) = 0Subproblem 1
Set the factor '(12 + v)' equal to zero and attempt to solve: Simplifying 12 + v = 0 Solving 12 + v = 0 Move all terms containing v to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + v = 0 + -12 Combine like terms: 12 + -12 = 0 0 + v = 0 + -12 v = 0 + -12 Combine like terms: 0 + -12 = -12 v = -12 Simplifying v = -12Subproblem 2
Set the factor '(13 + 6v)' equal to zero and attempt to solve: Simplifying 13 + 6v = 0 Solving 13 + 6v = 0 Move all terms containing v to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 6v = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 6v = 0 + -13 6v = 0 + -13 Combine like terms: 0 + -13 = -13 6v = -13 Divide each side by '6'. v = -2.166666667 Simplifying v = -2.166666667Solution
v = {-12, -2.166666667}
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