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Simplifying 3v2 + 11v + 11 = 3 Reorder the terms: 11 + 11v + 3v2 = 3 Solving 11 + 11v + 3v2 = 3 Solving for variable 'v'. Reorder the terms: 11 + -3 + 11v + 3v2 = 3 + -3 Combine like terms: 11 + -3 = 8 8 + 11v + 3v2 = 3 + -3 Combine like terms: 3 + -3 = 0 8 + 11v + 3v2 = 0 Factor a trinomial. (8 + 3v)(1 + v) = 0Subproblem 1
Set the factor '(8 + 3v)' equal to zero and attempt to solve: Simplifying 8 + 3v = 0 Solving 8 + 3v = 0 Move all terms containing v to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 3v = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 3v = 0 + -8 3v = 0 + -8 Combine like terms: 0 + -8 = -8 3v = -8 Divide each side by '3'. v = -2.666666667 Simplifying v = -2.666666667Subproblem 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 = {-2.666666667, -1}
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