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Simplifying 3v2 = 22v + 16 Reorder the terms: 3v2 = 16 + 22v Solving 3v2 = 16 + 22v Solving for variable 'v'. Reorder the terms: -16 + -22v + 3v2 = 16 + 22v + -16 + -22v Reorder the terms: -16 + -22v + 3v2 = 16 + -16 + 22v + -22v Combine like terms: 16 + -16 = 0 -16 + -22v + 3v2 = 0 + 22v + -22v -16 + -22v + 3v2 = 22v + -22v Combine like terms: 22v + -22v = 0 -16 + -22v + 3v2 = 0 Factor a trinomial. (-2 + -3v)(8 + -1v) = 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 '(8 + -1v)' equal to zero and attempt to solve: Simplifying 8 + -1v = 0 Solving 8 + -1v = 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 + -1v = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1v = 0 + -8 -1v = 0 + -8 Combine like terms: 0 + -8 = -8 -1v = -8 Divide each side by '-1'. v = 8 Simplifying v = 8Solution
v = {-0.6666666667, 8}
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