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Simplifying (5v + 4)(9 + -1v) = 0 Reorder the terms: (4 + 5v)(9 + -1v) = 0 Multiply (4 + 5v) * (9 + -1v) (4(9 + -1v) + 5v * (9 + -1v)) = 0 ((9 * 4 + -1v * 4) + 5v * (9 + -1v)) = 0 ((36 + -4v) + 5v * (9 + -1v)) = 0 (36 + -4v + (9 * 5v + -1v * 5v)) = 0 (36 + -4v + (45v + -5v2)) = 0 Combine like terms: -4v + 45v = 41v (36 + 41v + -5v2) = 0 Solving 36 + 41v + -5v2 = 0 Solving for variable 'v'. Factor a trinomial. (9 + -1v)(4 + 5v) = 0Subproblem 1
Set the factor '(9 + -1v)' equal to zero and attempt to solve: Simplifying 9 + -1v = 0 Solving 9 + -1v = 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 + -1v = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1v = 0 + -9 -1v = 0 + -9 Combine like terms: 0 + -9 = -9 -1v = -9 Divide each side by '-1'. v = 9 Simplifying v = 9Subproblem 2
Set the factor '(4 + 5v)' equal to zero and attempt to solve: Simplifying 4 + 5v = 0 Solving 4 + 5v = 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 + 5v = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5v = 0 + -4 5v = 0 + -4 Combine like terms: 0 + -4 = -4 5v = -4 Divide each side by '5'. v = -0.8 Simplifying v = -0.8Solution
v = {9, -0.8}
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