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Simplifying (3v + -2)(3 + -1v) = 0 Reorder the terms: (-2 + 3v)(3 + -1v) = 0 Multiply (-2 + 3v) * (3 + -1v) (-2(3 + -1v) + 3v * (3 + -1v)) = 0 ((3 * -2 + -1v * -2) + 3v * (3 + -1v)) = 0 ((-6 + 2v) + 3v * (3 + -1v)) = 0 (-6 + 2v + (3 * 3v + -1v * 3v)) = 0 (-6 + 2v + (9v + -3v2)) = 0 Combine like terms: 2v + 9v = 11v (-6 + 11v + -3v2) = 0 Solving -6 + 11v + -3v2 = 0 Solving for variable 'v'. Factor a trinomial. (-3 + v)(2 + -3v) = 0Subproblem 1
Set the factor '(-3 + v)' equal to zero and attempt to solve: Simplifying -3 + v = 0 Solving -3 + v = 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 + v = 0 + 3 Combine like terms: -3 + 3 = 0 0 + v = 0 + 3 v = 0 + 3 Combine like terms: 0 + 3 = 3 v = 3 Simplifying v = 3Subproblem 2
Set the factor '(2 + -3v)' equal to zero and attempt to solve: Simplifying 2 + -3v = 0 Solving 2 + -3v = 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 + -3v = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3v = 0 + -2 -3v = 0 + -2 Combine like terms: 0 + -2 = -2 -3v = -2 Divide each side by '-3'. v = 0.6666666667 Simplifying v = 0.6666666667Solution
v = {3, 0.6666666667}
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