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Simplifying (6v + 13)(v + 2) = 0 Reorder the terms: (13 + 6v)(v + 2) = 0 Reorder the terms: (13 + 6v)(2 + v) = 0 Multiply (13 + 6v) * (2 + v) (13(2 + v) + 6v * (2 + v)) = 0 ((2 * 13 + v * 13) + 6v * (2 + v)) = 0 ((26 + 13v) + 6v * (2 + v)) = 0 (26 + 13v + (2 * 6v + v * 6v)) = 0 (26 + 13v + (12v + 6v2)) = 0 Combine like terms: 13v + 12v = 25v (26 + 25v + 6v2) = 0 Solving 26 + 25v + 6v2 = 0 Solving for variable 'v'. Factor a trinomial. (13 + 6v)(2 + v) = 0Subproblem 1
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 = -2.166666667Subproblem 2
Set the factor '(2 + v)' equal to zero and attempt to solve: Simplifying 2 + v = 0 Solving 2 + v = 0 Move all terms containing v to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + v = 0 + -2 Combine like terms: 2 + -2 = 0 0 + v = 0 + -2 v = 0 + -2 Combine like terms: 0 + -2 = -2 v = -2 Simplifying v = -2Solution
v = {-2.166666667, -2}
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