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Simplifying 0 = -2v2 + -60 + -22v Reorder the terms: 0 = -60 + -22v + -2v2 Solving 0 = -60 + -22v + -2v2 Solving for variable 'v'. Combine like terms: 0 + 60 = 60 60 + 22v + 2v2 = -60 + -22v + -2v2 + 60 + 22v + 2v2 Reorder the terms: 60 + 22v + 2v2 = -60 + 60 + -22v + 22v + -2v2 + 2v2 Combine like terms: -60 + 60 = 0 60 + 22v + 2v2 = 0 + -22v + 22v + -2v2 + 2v2 60 + 22v + 2v2 = -22v + 22v + -2v2 + 2v2 Combine like terms: -22v + 22v = 0 60 + 22v + 2v2 = 0 + -2v2 + 2v2 60 + 22v + 2v2 = -2v2 + 2v2 Combine like terms: -2v2 + 2v2 = 0 60 + 22v + 2v2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(30 + 11v + v2) = 0 Factor a trinomial. 2((6 + v)(5 + v)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(6 + v)' equal to zero and attempt to solve: Simplifying 6 + v = 0 Solving 6 + v = 0 Move all terms containing v to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + v = 0 + -6 Combine like terms: 6 + -6 = 0 0 + v = 0 + -6 v = 0 + -6 Combine like terms: 0 + -6 = -6 v = -6 Simplifying v = -6Subproblem 2
Set the factor '(5 + v)' equal to zero and attempt to solve: Simplifying 5 + v = 0 Solving 5 + v = 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 + v = 0 + -5 Combine like terms: 5 + -5 = 0 0 + v = 0 + -5 v = 0 + -5 Combine like terms: 0 + -5 = -5 v = -5 Simplifying v = -5Solution
v = {-6, -5}
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