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Simplifying (2v + 9)(4 + -1v) = 0 Reorder the terms: (9 + 2v)(4 + -1v) = 0 Multiply (9 + 2v) * (4 + -1v) (9(4 + -1v) + 2v * (4 + -1v)) = 0 ((4 * 9 + -1v * 9) + 2v * (4 + -1v)) = 0 ((36 + -9v) + 2v * (4 + -1v)) = 0 (36 + -9v + (4 * 2v + -1v * 2v)) = 0 (36 + -9v + (8v + -2v2)) = 0 Combine like terms: -9v + 8v = -1v (36 + -1v + -2v2) = 0 Solving 36 + -1v + -2v2 = 0 Solving for variable 'v'. Factor a trinomial. (4 + -1v)(9 + 2v) = 0Subproblem 1
Set the factor '(4 + -1v)' equal to zero and attempt to solve: Simplifying 4 + -1v = 0 Solving 4 + -1v = 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 + -1v = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1v = 0 + -4 -1v = 0 + -4 Combine like terms: 0 + -4 = -4 -1v = -4 Divide each side by '-1'. v = 4 Simplifying v = 4Subproblem 2
Set the factor '(9 + 2v)' equal to zero and attempt to solve: Simplifying 9 + 2v = 0 Solving 9 + 2v = 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 + 2v = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 2v = 0 + -9 2v = 0 + -9 Combine like terms: 0 + -9 = -9 2v = -9 Divide each side by '2'. v = -4.5 Simplifying v = -4.5Solution
v = {4, -4.5}
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