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Simplifying (2v + 5)(v + 4) = 0 Reorder the terms: (5 + 2v)(v + 4) = 0 Reorder the terms: (5 + 2v)(4 + v) = 0 Multiply (5 + 2v) * (4 + v) (5(4 + v) + 2v * (4 + v)) = 0 ((4 * 5 + v * 5) + 2v * (4 + v)) = 0 ((20 + 5v) + 2v * (4 + v)) = 0 (20 + 5v + (4 * 2v + v * 2v)) = 0 (20 + 5v + (8v + 2v2)) = 0 Combine like terms: 5v + 8v = 13v (20 + 13v + 2v2) = 0 Solving 20 + 13v + 2v2 = 0 Solving for variable 'v'. Factor a trinomial. (4 + v)(5 + 2v) = 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 '(5 + 2v)' equal to zero and attempt to solve: Simplifying 5 + 2v = 0 Solving 5 + 2v = 0 Move all terms containing v to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 2v = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2v = 0 + -5 2v = 0 + -5 Combine like terms: 0 + -5 = -5 2v = -5 Divide each side by '2'. v = -2.5 Simplifying v = -2.5Solution
v = {-4, -2.5}
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