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Simplifying (4v + -1)(9 + -1v) = 0 Reorder the terms: (-1 + 4v)(9 + -1v) = 0 Multiply (-1 + 4v) * (9 + -1v) (-1(9 + -1v) + 4v * (9 + -1v)) = 0 ((9 * -1 + -1v * -1) + 4v * (9 + -1v)) = 0 ((-9 + 1v) + 4v * (9 + -1v)) = 0 (-9 + 1v + (9 * 4v + -1v * 4v)) = 0 (-9 + 1v + (36v + -4v2)) = 0 Combine like terms: 1v + 36v = 37v (-9 + 37v + -4v2) = 0 Solving -9 + 37v + -4v2 = 0 Solving for variable 'v'. Factor a trinomial. (-9 + v)(1 + -4v) = 0Subproblem 1
Set the factor '(-9 + v)' equal to zero and attempt to solve: Simplifying -9 + v = 0 Solving -9 + v = 0 Move all terms containing v to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + v = 0 + 9 Combine like terms: -9 + 9 = 0 0 + v = 0 + 9 v = 0 + 9 Combine like terms: 0 + 9 = 9 v = 9 Simplifying v = 9Subproblem 2
Set the factor '(1 + -4v)' equal to zero and attempt to solve: Simplifying 1 + -4v = 0 Solving 1 + -4v = 0 Move all terms containing v to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -4v = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4v = 0 + -1 -4v = 0 + -1 Combine like terms: 0 + -1 = -1 -4v = -1 Divide each side by '-4'. v = 0.25 Simplifying v = 0.25Solution
v = {9, 0.25}
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