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Simplifying (4v + -7)(3 + -1v) = 0 Reorder the terms: (-7 + 4v)(3 + -1v) = 0 Multiply (-7 + 4v) * (3 + -1v) (-7(3 + -1v) + 4v * (3 + -1v)) = 0 ((3 * -7 + -1v * -7) + 4v * (3 + -1v)) = 0 ((-21 + 7v) + 4v * (3 + -1v)) = 0 (-21 + 7v + (3 * 4v + -1v * 4v)) = 0 (-21 + 7v + (12v + -4v2)) = 0 Combine like terms: 7v + 12v = 19v (-21 + 19v + -4v2) = 0 Solving -21 + 19v + -4v2 = 0 Solving for variable 'v'. Factor a trinomial. (-3 + v)(7 + -4v) = 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 '(7 + -4v)' equal to zero and attempt to solve: Simplifying 7 + -4v = 0 Solving 7 + -4v = 0 Move all terms containing v to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -4v = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -4v = 0 + -7 -4v = 0 + -7 Combine like terms: 0 + -7 = -7 -4v = -7 Divide each side by '-4'. v = 1.75 Simplifying v = 1.75Solution
v = {3, 1.75}
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