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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. (-4 + -3v)(5 + -3v) = 0Subproblem 1
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 = -1.333333333Subproblem 2
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 = 1.666666667Solution
v = {-1.333333333, 1.666666667}
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