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Simplifying (5 + v)(5v + -9) = 0 Reorder the terms: (5 + v)(-9 + 5v) = 0 Multiply (5 + v) * (-9 + 5v) (5(-9 + 5v) + v(-9 + 5v)) = 0 ((-9 * 5 + 5v * 5) + v(-9 + 5v)) = 0 ((-45 + 25v) + v(-9 + 5v)) = 0 (-45 + 25v + (-9 * v + 5v * v)) = 0 (-45 + 25v + (-9v + 5v2)) = 0 Combine like terms: 25v + -9v = 16v (-45 + 16v + 5v2) = 0 Solving -45 + 16v + 5v2 = 0 Solving for variable 'v'. Factor a trinomial. (-5 + -1v)(9 + -5v) = 0Subproblem 1
Set the factor '(-5 + -1v)' equal to zero and attempt to solve: Simplifying -5 + -1v = 0 Solving -5 + -1v = 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 + -1v = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1v = 0 + 5 -1v = 0 + 5 Combine like terms: 0 + 5 = 5 -1v = 5 Divide each side by '-1'. v = -5 Simplifying v = -5Subproblem 2
Set the factor '(9 + -5v)' equal to zero and attempt to solve: Simplifying 9 + -5v = 0 Solving 9 + -5v = 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 + -5v = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -5v = 0 + -9 -5v = 0 + -9 Combine like terms: 0 + -9 = -9 -5v = -9 Divide each side by '-5'. v = 1.8 Simplifying v = 1.8Solution
v = {-5, 1.8}
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