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Simplifying 4v2 + -11v = 3 Reorder the terms: -11v + 4v2 = 3 Solving -11v + 4v2 = 3 Solving for variable 'v'. Reorder the terms: -3 + -11v + 4v2 = 3 + -3 Combine like terms: 3 + -3 = 0 -3 + -11v + 4v2 = 0 Factor a trinomial. (-1 + -4v)(3 + -1v) = 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 '(3 + -1v)' equal to zero and attempt to solve: Simplifying 3 + -1v = 0 Solving 3 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1v = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1v = 0 + -3 -1v = 0 + -3 Combine like terms: 0 + -3 = -3 -1v = -3 Divide each side by '-1'. v = 3 Simplifying v = 3Solution
v = {-0.25, 3}
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