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Simplifying (4v + -3)(7 + -1v) = 0 Reorder the terms: (-3 + 4v)(7 + -1v) = 0 Multiply (-3 + 4v) * (7 + -1v) (-3(7 + -1v) + 4v * (7 + -1v)) = 0 ((7 * -3 + -1v * -3) + 4v * (7 + -1v)) = 0 ((-21 + 3v) + 4v * (7 + -1v)) = 0 (-21 + 3v + (7 * 4v + -1v * 4v)) = 0 (-21 + 3v + (28v + -4v2)) = 0 Combine like terms: 3v + 28v = 31v (-21 + 31v + -4v2) = 0 Solving -21 + 31v + -4v2 = 0 Solving for variable 'v'. Factor a trinomial. (-7 + v)(3 + -4v) = 0Subproblem 1
Set the factor '(-7 + v)' equal to zero and attempt to solve: Simplifying -7 + v = 0 Solving -7 + v = 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 + v = 0 + 7 Combine like terms: -7 + 7 = 0 0 + v = 0 + 7 v = 0 + 7 Combine like terms: 0 + 7 = 7 v = 7 Simplifying v = 7Subproblem 2
Set the factor '(3 + -4v)' equal to zero and attempt to solve: Simplifying 3 + -4v = 0 Solving 3 + -4v = 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 + -4v = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4v = 0 + -3 -4v = 0 + -3 Combine like terms: 0 + -3 = -3 -4v = -3 Divide each side by '-4'. v = 0.75 Simplifying v = 0.75Solution
v = {7, 0.75}
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