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Simplifying 6v2 + -155v + 125 = 0 Reorder the terms: 125 + -155v + 6v2 = 0 Solving 125 + -155v + 6v2 = 0 Solving for variable 'v'. Factor a trinomial. (5 + -6v)(25 + -1v) = 0Subproblem 1
Set the factor '(5 + -6v)' equal to zero and attempt to solve: Simplifying 5 + -6v = 0 Solving 5 + -6v = 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 + -6v = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -6v = 0 + -5 -6v = 0 + -5 Combine like terms: 0 + -5 = -5 -6v = -5 Divide each side by '-6'. v = 0.8333333333 Simplifying v = 0.8333333333Subproblem 2
Set the factor '(25 + -1v)' equal to zero and attempt to solve: Simplifying 25 + -1v = 0 Solving 25 + -1v = 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 + -1v = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -1v = 0 + -25 -1v = 0 + -25 Combine like terms: 0 + -25 = -25 -1v = -25 Divide each side by '-1'. v = 25 Simplifying v = 25Solution
v = {0.8333333333, 25}
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