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Simplifying 3v2 = -11v + -10 Reorder the terms: 3v2 = -10 + -11v Solving 3v2 = -10 + -11v Solving for variable 'v'. Reorder the terms: 10 + 11v + 3v2 = -10 + -11v + 10 + 11v Reorder the terms: 10 + 11v + 3v2 = -10 + 10 + -11v + 11v Combine like terms: -10 + 10 = 0 10 + 11v + 3v2 = 0 + -11v + 11v 10 + 11v + 3v2 = -11v + 11v Combine like terms: -11v + 11v = 0 10 + 11v + 3v2 = 0 Factor a trinomial. (2 + v)(5 + 3v) = 0Subproblem 1
Set the factor '(2 + v)' equal to zero and attempt to solve: Simplifying 2 + v = 0 Solving 2 + v = 0 Move all terms containing v to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + v = 0 + -2 Combine like terms: 2 + -2 = 0 0 + v = 0 + -2 v = 0 + -2 Combine like terms: 0 + -2 = -2 v = -2 Simplifying v = -2Subproblem 2
Set the factor '(5 + 3v)' equal to zero and attempt to solve: Simplifying 5 + 3v = 0 Solving 5 + 3v = 0 Move all terms containing v to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 3v = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3v = 0 + -5 3v = 0 + -5 Combine like terms: 0 + -5 = -5 3v = -5 Divide each side by '3'. v = -1.666666667 Simplifying v = -1.666666667Solution
v = {-2, -1.666666667}
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