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Simplifying 6v2 + -17v + -10 = 0 Reorder the terms: -10 + -17v + 6v2 = 0 Solving -10 + -17v + 6v2 = 0 Solving for variable 'v'. Factor a trinomial. (-1 + -2v)(10 + -3v) = 0Subproblem 1
Set the factor '(-1 + -2v)' equal to zero and attempt to solve: Simplifying -1 + -2v = 0 Solving -1 + -2v = 0 Move all terms containing v to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -2v = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2v = 0 + 1 -2v = 0 + 1 Combine like terms: 0 + 1 = 1 -2v = 1 Divide each side by '-2'. v = -0.5 Simplifying v = -0.5Subproblem 2
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 = 3.333333333Solution
v = {-0.5, 3.333333333}
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