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Simplifying (3v + -4)(3 + -1v) = 0 Reorder the terms: (-4 + 3v)(3 + -1v) = 0 Multiply (-4 + 3v) * (3 + -1v) (-4(3 + -1v) + 3v * (3 + -1v)) = 0 ((3 * -4 + -1v * -4) + 3v * (3 + -1v)) = 0 ((-12 + 4v) + 3v * (3 + -1v)) = 0 (-12 + 4v + (3 * 3v + -1v * 3v)) = 0 (-12 + 4v + (9v + -3v2)) = 0 Combine like terms: 4v + 9v = 13v (-12 + 13v + -3v2) = 0 Solving -12 + 13v + -3v2 = 0 Solving for variable 'v'. Factor a trinomial. (-3 + v)(4 + -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 '(4 + -3v)' equal to zero and attempt to solve: Simplifying 4 + -3v = 0 Solving 4 + -3v = 0 Move all terms containing v to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -3v = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3v = 0 + -4 -3v = 0 + -4 Combine like terms: 0 + -4 = -4 -3v = -4 Divide each side by '-3'. v = 1.333333333 Simplifying v = 1.333333333Solution
v = {3, 1.333333333}
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