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Simplifying (3v + 5)(4 + -1v) = 0 Reorder the terms: (5 + 3v)(4 + -1v) = 0 Multiply (5 + 3v) * (4 + -1v) (5(4 + -1v) + 3v * (4 + -1v)) = 0 ((4 * 5 + -1v * 5) + 3v * (4 + -1v)) = 0 ((20 + -5v) + 3v * (4 + -1v)) = 0 (20 + -5v + (4 * 3v + -1v * 3v)) = 0 (20 + -5v + (12v + -3v2)) = 0 Combine like terms: -5v + 12v = 7v (20 + 7v + -3v2) = 0 Solving 20 + 7v + -3v2 = 0 Solving for variable 'v'. Factor a trinomial. (4 + -1v)(5 + 3v) = 0Subproblem 1
Set the factor '(4 + -1v)' equal to zero and attempt to solve: Simplifying 4 + -1v = 0 Solving 4 + -1v = 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 + -1v = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1v = 0 + -4 -1v = 0 + -4 Combine like terms: 0 + -4 = -4 -1v = -4 Divide each side by '-1'. v = 4 Simplifying v = 4Subproblem 2
Set the factor '(5 + 3v)' equal to zero and attempt to solve: Simplifying 5 + 3v = 0 Solving 5 + 3v = 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 + 3v = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3v = 0 + -5 3v = 0 + -5 Combine like terms: 0 + -5 = -5 3v = -5 Divide each side by '3'. v = -1.666666667 Simplifying v = -1.666666667Solution
v = {4, -1.666666667}
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