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Simplifying 3v2 + 19v + 30 = 0 Reorder the terms: 30 + 19v + 3v2 = 0 Solving 30 + 19v + 3v2 = 0 Solving for variable 'v'. Factor a trinomial. (10 + 3v)(3 + v) = 0Subproblem 1
Set the factor '(10 + 3v)' equal to zero and attempt to solve: Simplifying 10 + 3v = 0 Solving 10 + 3v = 0 Move all terms containing v to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 3v = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 3v = 0 + -10 3v = 0 + -10 Combine like terms: 0 + -10 = -10 3v = -10 Divide each side by '3'. v = -3.333333333 Simplifying v = -3.333333333Subproblem 2
Set the factor '(3 + v)' equal to zero and attempt to solve: Simplifying 3 + v = 0 Solving 3 + v = 0 Move all terms containing v to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + v = 0 + -3 Combine like terms: 3 + -3 = 0 0 + v = 0 + -3 v = 0 + -3 Combine like terms: 0 + -3 = -3 v = -3 Simplifying v = -3Solution
v = {-3.333333333, -3}
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