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Simplifying -7v + -2 = 3v2 Reorder the terms: -2 + -7v = 3v2 Solving -2 + -7v = 3v2 Solving for variable 'v'. Combine like terms: 3v2 + -3v2 = 0 -2 + -7v + -3v2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(2 + 7v + 3v2) = 0 Factor a trinomial. -1((2 + v)(1 + 3v)) = 0 Ignore the factor -1.Subproblem 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 '(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 = {-2, -0.3333333333}
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