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Simplifying 9v2 + 3v + -20 = 0 Reorder the terms: -20 + 3v + 9v2 = 0 Solving -20 + 3v + 9v2 = 0 Solving for variable 'v'. Factor a trinomial. (-5 + -3v)(4 + -3v) = 0Subproblem 1
Set the factor '(-5 + -3v)' equal to zero and attempt to solve: Simplifying -5 + -3v = 0 Solving -5 + -3v = 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 + -3v = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -3v = 0 + 5 -3v = 0 + 5 Combine like terms: 0 + 5 = 5 -3v = 5 Divide each side by '-3'. v = -1.666666667 Simplifying v = -1.666666667Subproblem 2
Set the factor '(4 + -3v)' equal to zero and attempt to solve: Simplifying 4 + -3v = 0 Solving 4 + -3v = 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 + -3v = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3v = 0 + -4 -3v = 0 + -4 Combine like terms: 0 + -4 = -4 -3v = -4 Divide each side by '-3'. v = 1.333333333 Simplifying v = 1.333333333Solution
v = {-1.666666667, 1.333333333}
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