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Simplifying 30v2 + 265v + 200 = 0 Reorder the terms: 200 + 265v + 30v2 = 0 Solving 200 + 265v + 30v2 = 0 Solving for variable 'v'. Factor out the Greatest Common Factor (GCF), '5'. 5(40 + 53v + 6v2) = 0 Factor a trinomial. 5((8 + v)(5 + 6v)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(8 + v)' equal to zero and attempt to solve: Simplifying 8 + v = 0 Solving 8 + v = 0 Move all terms containing v to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + v = 0 + -8 Combine like terms: 8 + -8 = 0 0 + v = 0 + -8 v = 0 + -8 Combine like terms: 0 + -8 = -8 v = -8 Simplifying v = -8Subproblem 2
Set the factor '(5 + 6v)' equal to zero and attempt to solve: Simplifying 5 + 6v = 0 Solving 5 + 6v = 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 + 6v = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 6v = 0 + -5 6v = 0 + -5 Combine like terms: 0 + -5 = -5 6v = -5 Divide each side by '6'. v = -0.8333333333 Simplifying v = -0.8333333333Solution
v = {-8, -0.8333333333}
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