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Simplifying 6v2 = 7v + 3 Reorder the terms: 6v2 = 3 + 7v Solving 6v2 = 3 + 7v Solving for variable 'v'. Reorder the terms: -3 + -7v + 6v2 = 3 + 7v + -3 + -7v Reorder the terms: -3 + -7v + 6v2 = 3 + -3 + 7v + -7v Combine like terms: 3 + -3 = 0 -3 + -7v + 6v2 = 0 + 7v + -7v -3 + -7v + 6v2 = 7v + -7v Combine like terms: 7v + -7v = 0 -3 + -7v + 6v2 = 0 Factor a trinomial. (-1 + -3v)(3 + -2v) = 0Subproblem 1
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 = -0.3333333333Subproblem 2
Set the factor '(3 + -2v)' equal to zero and attempt to solve: Simplifying 3 + -2v = 0 Solving 3 + -2v = 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 + -2v = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2v = 0 + -3 -2v = 0 + -3 Combine like terms: 0 + -3 = -3 -2v = -3 Divide each side by '-2'. v = 1.5 Simplifying v = 1.5Solution
v = {-0.3333333333, 1.5}
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