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Simplifying (v + 5) = 2v2 + 9v + -5 Reorder the terms: (5 + v) = 2v2 + 9v + -5 Remove parenthesis around (5 + v) 5 + v = 2v2 + 9v + -5 Reorder the terms: 5 + v = -5 + 9v + 2v2 Solving 5 + v = -5 + 9v + 2v2 Solving for variable 'v'. Reorder the terms: 5 + 5 + v + -9v + -2v2 = -5 + 9v + 2v2 + 5 + -9v + -2v2 Combine like terms: 5 + 5 = 10 10 + v + -9v + -2v2 = -5 + 9v + 2v2 + 5 + -9v + -2v2 Combine like terms: v + -9v = -8v 10 + -8v + -2v2 = -5 + 9v + 2v2 + 5 + -9v + -2v2 Reorder the terms: 10 + -8v + -2v2 = -5 + 5 + 9v + -9v + 2v2 + -2v2 Combine like terms: -5 + 5 = 0 10 + -8v + -2v2 = 0 + 9v + -9v + 2v2 + -2v2 10 + -8v + -2v2 = 9v + -9v + 2v2 + -2v2 Combine like terms: 9v + -9v = 0 10 + -8v + -2v2 = 0 + 2v2 + -2v2 10 + -8v + -2v2 = 2v2 + -2v2 Combine like terms: 2v2 + -2v2 = 0 10 + -8v + -2v2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(5 + -4v + -1v2) = 0 Factor a trinomial. 2((1 + -1v)(5 + v)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(1 + -1v)' equal to zero and attempt to solve: Simplifying 1 + -1v = 0 Solving 1 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1v = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1v = 0 + -1 -1v = 0 + -1 Combine like terms: 0 + -1 = -1 -1v = -1 Divide each side by '-1'. v = 1 Simplifying v = 1Subproblem 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 = {1, -5}
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