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Simplifying (4 + v)(3v + 2) = 0 Reorder the terms: (4 + v)(2 + 3v) = 0 Multiply (4 + v) * (2 + 3v) (4(2 + 3v) + v(2 + 3v)) = 0 ((2 * 4 + 3v * 4) + v(2 + 3v)) = 0 ((8 + 12v) + v(2 + 3v)) = 0 (8 + 12v + (2 * v + 3v * v)) = 0 (8 + 12v + (2v + 3v2)) = 0 Combine like terms: 12v + 2v = 14v (8 + 14v + 3v2) = 0 Solving 8 + 14v + 3v2 = 0 Solving for variable 'v'. Factor a trinomial. (4 + v)(2 + 3v) = 0Subproblem 1
Set the factor '(4 + v)' equal to zero and attempt to solve: Simplifying 4 + v = 0 Solving 4 + v = 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 + v = 0 + -4 Combine like terms: 4 + -4 = 0 0 + v = 0 + -4 v = 0 + -4 Combine like terms: 0 + -4 = -4 v = -4 Simplifying v = -4Subproblem 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 = {-4, -0.6666666667}
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