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Simplifying (2 + v)(3v + 4) = 0 Reorder the terms: (2 + v)(4 + 3v) = 0 Multiply (2 + v) * (4 + 3v) (2(4 + 3v) + v(4 + 3v)) = 0 ((4 * 2 + 3v * 2) + v(4 + 3v)) = 0 ((8 + 6v) + v(4 + 3v)) = 0 (8 + 6v + (4 * v + 3v * v)) = 0 (8 + 6v + (4v + 3v2)) = 0 Combine like terms: 6v + 4v = 10v (8 + 10v + 3v2) = 0 Solving 8 + 10v + 3v2 = 0 Solving for variable 'v'. Factor a trinomial. (2 + v)(4 + 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 '(4 + 3v)' equal to zero and attempt to solve: Simplifying 4 + 3v = 0 Solving 4 + 3v = 0 Move all terms containing v to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 3v = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3v = 0 + -4 3v = 0 + -4 Combine like terms: 0 + -4 = -4 3v = -4 Divide each side by '3'. v = -1.333333333 Simplifying v = -1.333333333Solution
v = {-2, -1.333333333}
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