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Simplifying 4v2 = -20v + -25 Reorder the terms: 4v2 = -25 + -20v Solving 4v2 = -25 + -20v Solving for variable 'v'. Reorder the terms: 25 + 20v + 4v2 = -25 + -20v + 25 + 20v Reorder the terms: 25 + 20v + 4v2 = -25 + 25 + -20v + 20v Combine like terms: -25 + 25 = 0 25 + 20v + 4v2 = 0 + -20v + 20v 25 + 20v + 4v2 = -20v + 20v Combine like terms: -20v + 20v = 0 25 + 20v + 4v2 = 0 Factor a trinomial. (5 + 2v)(5 + 2v) = 0Subproblem 1
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 = -2.5Subproblem 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 = {-2.5, -2.5}
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