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Simplifying 9v2 + 6v + -80 = 0 Reorder the terms: -80 + 6v + 9v2 = 0 Solving -80 + 6v + 9v2 = 0 Solving for variable 'v'. Factor a trinomial. (-10 + -3v)(8 + -3v) = 0Subproblem 1
Set the factor '(-10 + -3v)' equal to zero and attempt to solve: Simplifying -10 + -3v = 0 Solving -10 + -3v = 0 Move all terms containing v to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -3v = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -3v = 0 + 10 -3v = 0 + 10 Combine like terms: 0 + 10 = 10 -3v = 10 Divide each side by '-3'. v = -3.333333333 Simplifying v = -3.333333333Subproblem 2
Set the factor '(8 + -3v)' equal to zero and attempt to solve: Simplifying 8 + -3v = 0 Solving 8 + -3v = 0 Move all terms containing v to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -3v = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -3v = 0 + -8 -3v = 0 + -8 Combine like terms: 0 + -8 = -8 -3v = -8 Divide each side by '-3'. v = 2.666666667 Simplifying v = 2.666666667Solution
v = {-3.333333333, 2.666666667}
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