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Simplifying 2v2 = 3v + 2 Reorder the terms: 2v2 = 2 + 3v Solving 2v2 = 2 + 3v Solving for variable 'v'. Reorder the terms: -2 + -3v + 2v2 = 2 + 3v + -2 + -3v Reorder the terms: -2 + -3v + 2v2 = 2 + -2 + 3v + -3v Combine like terms: 2 + -2 = 0 -2 + -3v + 2v2 = 0 + 3v + -3v -2 + -3v + 2v2 = 3v + -3v Combine like terms: 3v + -3v = 0 -2 + -3v + 2v2 = 0 Factor a trinomial. (-1 + -2v)(2 + -1v) = 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 '(2 + -1v)' equal to zero and attempt to solve: Simplifying 2 + -1v = 0 Solving 2 + -1v = 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 + -1v = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1v = 0 + -2 -1v = 0 + -2 Combine like terms: 0 + -2 = -2 -1v = -2 Divide each side by '-1'. v = 2 Simplifying v = 2Solution
v = {-0.5, 2}
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