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Simplifying 12v2 + -25v + -7 = 0 Reorder the terms: -7 + -25v + 12v2 = 0 Solving -7 + -25v + 12v2 = 0 Solving for variable 'v'. Factor a trinomial. (-1 + -4v)(7 + -3v) = 0Subproblem 1
Set the factor '(-1 + -4v)' equal to zero and attempt to solve: Simplifying -1 + -4v = 0 Solving -1 + -4v = 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 + -4v = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -4v = 0 + 1 -4v = 0 + 1 Combine like terms: 0 + 1 = 1 -4v = 1 Divide each side by '-4'. v = -0.25 Simplifying v = -0.25Subproblem 2
Set the factor '(7 + -3v)' equal to zero and attempt to solve: Simplifying 7 + -3v = 0 Solving 7 + -3v = 0 Move all terms containing v to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -3v = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3v = 0 + -7 -3v = 0 + -7 Combine like terms: 0 + -7 = -7 -3v = -7 Divide each side by '-3'. v = 2.333333333 Simplifying v = 2.333333333Solution
v = {-0.25, 2.333333333}
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