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Simplifying -1v = 4v2 + -3 Reorder the terms: -1v = -3 + 4v2 Solving -1v = -3 + 4v2 Solving for variable 'v'. Reorder the terms: 3 + -1v + -4v2 = -3 + 4v2 + 3 + -4v2 Reorder the terms: 3 + -1v + -4v2 = -3 + 3 + 4v2 + -4v2 Combine like terms: -3 + 3 = 0 3 + -1v + -4v2 = 0 + 4v2 + -4v2 3 + -1v + -4v2 = 4v2 + -4v2 Combine like terms: 4v2 + -4v2 = 0 3 + -1v + -4v2 = 0 Factor a trinomial. (3 + -4v)(1 + v) = 0Subproblem 1
Set the factor '(3 + -4v)' equal to zero and attempt to solve: Simplifying 3 + -4v = 0 Solving 3 + -4v = 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 + -4v = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4v = 0 + -3 -4v = 0 + -3 Combine like terms: 0 + -3 = -3 -4v = -3 Divide each side by '-4'. v = 0.75 Simplifying v = 0.75Subproblem 2
Set the factor '(1 + v)' equal to zero and attempt to solve: Simplifying 1 + v = 0 Solving 1 + v = 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 + v = 0 + -1 Combine like terms: 1 + -1 = 0 0 + v = 0 + -1 v = 0 + -1 Combine like terms: 0 + -1 = -1 v = -1 Simplifying v = -1Solution
v = {0.75, -1}
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