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Simplifying (v + 2)(3v + 2) = 0 Reorder the terms: (2 + v)(3v + 2) = 0 Reorder the terms: (2 + v)(2 + 3v) = 0 Multiply (2 + v) * (2 + 3v) (2(2 + 3v) + v(2 + 3v)) = 0 ((2 * 2 + 3v * 2) + v(2 + 3v)) = 0 ((4 + 6v) + v(2 + 3v)) = 0 (4 + 6v + (2 * v + 3v * v)) = 0 (4 + 6v + (2v + 3v2)) = 0 Combine like terms: 6v + 2v = 8v (4 + 8v + 3v2) = 0 Solving 4 + 8v + 3v2 = 0 Solving for variable 'v'. Factor a trinomial. (2 + v)(2 + 3v) = 0Subproblem 1
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 = -2Subproblem 2
Set the factor '(2 + 3v)' equal to zero and attempt to solve: Simplifying 2 + 3v = 0 Solving 2 + 3v = 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 + 3v = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3v = 0 + -2 3v = 0 + -2 Combine like terms: 0 + -2 = -2 3v = -2 Divide each side by '3'. v = -0.6666666667 Simplifying v = -0.6666666667Solution
v = {-2, -0.6666666667}
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