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Simplifying 24v2 + 140v + 200 = 0 Reorder the terms: 200 + 140v + 24v2 = 0 Solving 200 + 140v + 24v2 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), '4'. 4(50 + 35v + 6v2) = 0 Factor a trinomial. 4((10 + 3v)(5 + 2v)) = 0 Ignore the factor 4.Subproblem 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 '(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 = {-3.333333333, -2.5}
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