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Simplifying 2v2 + 29v + 50 = 0 Reorder the terms: 50 + 29v + 2v2 = 0 Solving 50 + 29v + 2v2 = 0 Solving for variable 'v'. Factor a trinomial. (25 + 2v)(2 + v) = 0Subproblem 1
Set the factor '(25 + 2v)' equal to zero and attempt to solve: Simplifying 25 + 2v = 0 Solving 25 + 2v = 0 Move all terms containing v to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 2v = 0 + -25 Combine like terms: 25 + -25 = 0 0 + 2v = 0 + -25 2v = 0 + -25 Combine like terms: 0 + -25 = -25 2v = -25 Divide each side by '2'. v = -12.5 Simplifying v = -12.5Subproblem 2
Set the factor '(2 + v)' equal to zero and attempt to solve: Simplifying 2 + v = 0 Solving 2 + v = 0 Move all terms containing v to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + v = 0 + -2 Combine like terms: 2 + -2 = 0 0 + v = 0 + -2 v = 0 + -2 Combine like terms: 0 + -2 = -2 v = -2 Simplifying v = -2Solution
v = {-12.5, -2}
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