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Simplifying (9 + -1v)(2v + 5) = 0 Reorder the terms: (9 + -1v)(5 + 2v) = 0 Multiply (9 + -1v) * (5 + 2v) (9(5 + 2v) + -1v * (5 + 2v)) = 0 ((5 * 9 + 2v * 9) + -1v * (5 + 2v)) = 0 ((45 + 18v) + -1v * (5 + 2v)) = 0 (45 + 18v + (5 * -1v + 2v * -1v)) = 0 (45 + 18v + (-5v + -2v2)) = 0 Combine like terms: 18v + -5v = 13v (45 + 13v + -2v2) = 0 Solving 45 + 13v + -2v2 = 0 Solving for variable 'v'. Factor a trinomial. (9 + -1v)(5 + 2v) = 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 '(5 + 2v)' equal to zero and attempt to solve: Simplifying 5 + 2v = 0 Solving 5 + 2v = 0 Move all terms containing v to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 2v = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2v = 0 + -5 2v = 0 + -5 Combine like terms: 0 + -5 = -5 2v = -5 Divide each side by '2'. v = -2.5 Simplifying v = -2.5Solution
v = {9, -2.5}
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