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Simplifying -20v = 4v2 + 25 Reorder the terms: -20v = 25 + 4v2 Solving -20v = 25 + 4v2 Solving for variable 'v'. Reorder the terms: -25 + -20v + -4v2 = 25 + 4v2 + -25 + -4v2 Reorder the terms: -25 + -20v + -4v2 = 25 + -25 + 4v2 + -4v2 Combine like terms: 25 + -25 = 0 -25 + -20v + -4v2 = 0 + 4v2 + -4v2 -25 + -20v + -4v2 = 4v2 + -4v2 Combine like terms: 4v2 + -4v2 = 0 -25 + -20v + -4v2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(25 + 20v + 4v2) = 0 Factor a trinomial. -1((5 + 2v)(5 + 2v)) = 0 Ignore the factor -1.Subproblem 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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