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