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Simplifying 36v2 + -60v + 25 = 0 Reorder the terms: 25 + -60v + 36v2 = 0 Solving 25 + -60v + 36v2 = 0 Solving for variable 'v'. Factor a trinomial. (5 + -6v)(5 + -6v) = 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 '(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 = 0.8333333333Solution
v = {0.8333333333, 0.8333333333}
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