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Simplifying v2 = 8 + -2v Solving v2 = 8 + -2v Solving for variable 'v'. Reorder the terms: -8 + 2v + v2 = 8 + -2v + -8 + 2v Reorder the terms: -8 + 2v + v2 = 8 + -8 + -2v + 2v Combine like terms: 8 + -8 = 0 -8 + 2v + v2 = 0 + -2v + 2v -8 + 2v + v2 = -2v + 2v Combine like terms: -2v + 2v = 0 -8 + 2v + v2 = 0 Factor a trinomial. (-4 + -1v)(2 + -1v) = 0Subproblem 1
Set the factor '(-4 + -1v)' equal to zero and attempt to solve: Simplifying -4 + -1v = 0 Solving -4 + -1v = 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 + -1v = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1v = 0 + 4 -1v = 0 + 4 Combine like terms: 0 + 4 = 4 -1v = 4 Divide each side by '-1'. v = -4 Simplifying v = -4Subproblem 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 = {-4, 2}
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