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Simplifying 28v2 + 60v + -25 = 0 Reorder the terms: -25 + 60v + 28v2 = 0 Solving -25 + 60v + 28v2 = 0 Solving for variable 'v'. Factor a trinomial. (-5 + -2v)(5 + -14v) = 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 + -14v)' equal to zero and attempt to solve: Simplifying 5 + -14v = 0 Solving 5 + -14v = 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 + -14v = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -14v = 0 + -5 -14v = 0 + -5 Combine like terms: 0 + -5 = -5 -14v = -5 Divide each side by '-14'. v = 0.3571428571 Simplifying v = 0.3571428571Solution
v = {-2.5, 0.3571428571}
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