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Simplifying 50v2 + -27v + 1 = 0 Reorder the terms: 1 + -27v + 50v2 = 0 Solving 1 + -27v + 50v2 = 0 Solving for variable 'v'. Factor a trinomial. (1 + -25v)(1 + -2v) = 0Subproblem 1
Set the factor '(1 + -25v)' equal to zero and attempt to solve: Simplifying 1 + -25v = 0 Solving 1 + -25v = 0 Move all terms containing v to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -25v = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -25v = 0 + -1 -25v = 0 + -1 Combine like terms: 0 + -1 = -1 -25v = -1 Divide each side by '-25'. v = 0.04 Simplifying v = 0.04Subproblem 2
Set the factor '(1 + -2v)' equal to zero and attempt to solve: Simplifying 1 + -2v = 0 Solving 1 + -2v = 0 Move all terms containing v to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -2v = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2v = 0 + -1 -2v = 0 + -1 Combine like terms: 0 + -1 = -1 -2v = -1 Divide each side by '-2'. v = 0.5 Simplifying v = 0.5Solution
v = {0.04, 0.5}
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