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Simplifying 4v2 + 9v + -55 = 0 Reorder the terms: -55 + 9v + 4v2 = 0 Solving -55 + 9v + 4v2 = 0 Solving for variable 'v'. Factor a trinomial. (-5 + -1v)(11 + -4v) = 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 '(11 + -4v)' equal to zero and attempt to solve: Simplifying 11 + -4v = 0 Solving 11 + -4v = 0 Move all terms containing v to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -4v = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -4v = 0 + -11 -4v = 0 + -11 Combine like terms: 0 + -11 = -11 -4v = -11 Divide each side by '-4'. v = 2.75 Simplifying v = 2.75Solution
v = {-5, 2.75}
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