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Simplifying 14v2 + 45v + 25 = 0 Reorder the terms: 25 + 45v + 14v2 = 0 Solving 25 + 45v + 14v2 = 0 Solving for variable 'v'. Factor a trinomial. (5 + 2v)(5 + 7v) = 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 + 7v)' equal to zero and attempt to solve: Simplifying 5 + 7v = 0 Solving 5 + 7v = 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 + 7v = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 7v = 0 + -5 7v = 0 + -5 Combine like terms: 0 + -5 = -5 7v = -5 Divide each side by '7'. v = -0.7142857143 Simplifying v = -0.7142857143Solution
v = {-2.5, -0.7142857143}
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