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Simplifying 5v2 = -15 + -20v Solving 5v2 = -15 + -20v Solving for variable 'v'. Reorder the terms: 15 + 20v + 5v2 = -15 + -20v + 15 + 20v Reorder the terms: 15 + 20v + 5v2 = -15 + 15 + -20v + 20v Combine like terms: -15 + 15 = 0 15 + 20v + 5v2 = 0 + -20v + 20v 15 + 20v + 5v2 = -20v + 20v Combine like terms: -20v + 20v = 0 15 + 20v + 5v2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(3 + 4v + v2) = 0 Factor a trinomial. 5((3 + v)(1 + v)) = 0 Ignore the factor 5.Subproblem 1
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 = -3Subproblem 2
Set the factor '(1 + v)' equal to zero and attempt to solve: Simplifying 1 + v = 0 Solving 1 + v = 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 + v = 0 + -1 Combine like terms: 1 + -1 = 0 0 + v = 0 + -1 v = 0 + -1 Combine like terms: 0 + -1 = -1 v = -1 Simplifying v = -1Solution
v = {-3, -1}
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