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Simplifying 4v2 = -21v + -5 Reorder the terms: 4v2 = -5 + -21v Solving 4v2 = -5 + -21v Solving for variable 'v'. Reorder the terms: 5 + 21v + 4v2 = -5 + -21v + 5 + 21v Reorder the terms: 5 + 21v + 4v2 = -5 + 5 + -21v + 21v Combine like terms: -5 + 5 = 0 5 + 21v + 4v2 = 0 + -21v + 21v 5 + 21v + 4v2 = -21v + 21v Combine like terms: -21v + 21v = 0 5 + 21v + 4v2 = 0 Factor a trinomial. (5 + v)(1 + 4v) = 0Subproblem 1
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 = -5Subproblem 2
Set the factor '(1 + 4v)' equal to zero and attempt to solve: Simplifying 1 + 4v = 0 Solving 1 + 4v = 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 + 4v = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4v = 0 + -1 4v = 0 + -1 Combine like terms: 0 + -1 = -1 4v = -1 Divide each side by '4'. v = -0.25 Simplifying v = -0.25Solution
v = {-5, -0.25}
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