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Simplifying (3v + -4)(2 + -1v) = 0 Reorder the terms: (-4 + 3v)(2 + -1v) = 0 Multiply (-4 + 3v) * (2 + -1v) (-4(2 + -1v) + 3v * (2 + -1v)) = 0 ((2 * -4 + -1v * -4) + 3v * (2 + -1v)) = 0 ((-8 + 4v) + 3v * (2 + -1v)) = 0 (-8 + 4v + (2 * 3v + -1v * 3v)) = 0 (-8 + 4v + (6v + -3v2)) = 0 Combine like terms: 4v + 6v = 10v (-8 + 10v + -3v2) = 0 Solving -8 + 10v + -3v2 = 0 Solving for variable 'v'. Factor a trinomial. (-2 + v)(4 + -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 '(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 = {2, 1.333333333}
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