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Simplifying 11v = 3v2 + -4 Reorder the terms: 11v = -4 + 3v2 Solving 11v = -4 + 3v2 Solving for variable 'v'. Reorder the terms: 4 + 11v + -3v2 = -4 + 3v2 + 4 + -3v2 Reorder the terms: 4 + 11v + -3v2 = -4 + 4 + 3v2 + -3v2 Combine like terms: -4 + 4 = 0 4 + 11v + -3v2 = 0 + 3v2 + -3v2 4 + 11v + -3v2 = 3v2 + -3v2 Combine like terms: 3v2 + -3v2 = 0 4 + 11v + -3v2 = 0 Factor a trinomial. (4 + -1v)(1 + 3v) = 0Subproblem 1
Set the factor '(4 + -1v)' equal to zero and attempt to solve: Simplifying 4 + -1v = 0 Solving 4 + -1v = 0 Move all terms containing v to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1v = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1v = 0 + -4 -1v = 0 + -4 Combine like terms: 0 + -4 = -4 -1v = -4 Divide each side by '-1'. v = 4 Simplifying v = 4Subproblem 2
Set the factor '(1 + 3v)' equal to zero and attempt to solve: Simplifying 1 + 3v = 0 Solving 1 + 3v = 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 + 3v = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3v = 0 + -1 3v = 0 + -1 Combine like terms: 0 + -1 = -1 3v = -1 Divide each side by '3'. v = -0.3333333333 Simplifying v = -0.3333333333Solution
v = {4, -0.3333333333}
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