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Simplifying 17v2 + -18v + -2 = 8v2 + -10 Reorder the terms: -2 + -18v + 17v2 = 8v2 + -10 Reorder the terms: -2 + -18v + 17v2 = -10 + 8v2 Solving -2 + -18v + 17v2 = -10 + 8v2 Solving for variable 'v'. Reorder the terms: -2 + 10 + -18v + 17v2 + -8v2 = -10 + 8v2 + 10 + -8v2 Combine like terms: -2 + 10 = 8 8 + -18v + 17v2 + -8v2 = -10 + 8v2 + 10 + -8v2 Combine like terms: 17v2 + -8v2 = 9v2 8 + -18v + 9v2 = -10 + 8v2 + 10 + -8v2 Reorder the terms: 8 + -18v + 9v2 = -10 + 10 + 8v2 + -8v2 Combine like terms: -10 + 10 = 0 8 + -18v + 9v2 = 0 + 8v2 + -8v2 8 + -18v + 9v2 = 8v2 + -8v2 Combine like terms: 8v2 + -8v2 = 0 8 + -18v + 9v2 = 0 Factor a trinomial. (2 + -3v)(4 + -3v) = 0Subproblem 1
Set the factor '(2 + -3v)' equal to zero and attempt to solve: Simplifying 2 + -3v = 0 Solving 2 + -3v = 0 Move all terms containing v to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3v = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3v = 0 + -2 -3v = 0 + -2 Combine like terms: 0 + -2 = -2 -3v = -2 Divide each side by '-3'. v = 0.6666666667 Simplifying v = 0.6666666667Subproblem 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 = {0.6666666667, 1.333333333}
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