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Simplifying 2v2 + -3v + 22 + -1v2 + 8v + -16 = 0 Reorder the terms: 22 + -16 + -3v + 8v + 2v2 + -1v2 = 0 Combine like terms: 22 + -16 = 6 6 + -3v + 8v + 2v2 + -1v2 = 0 Combine like terms: -3v + 8v = 5v 6 + 5v + 2v2 + -1v2 = 0 Combine like terms: 2v2 + -1v2 = 1v2 6 + 5v + 1v2 = 0 Solving 6 + 5v + 1v2 = 0 Solving for variable 'v'. Factor a trinomial. (3 + v)(2 + v) = 0Subproblem 1
Set the factor '(3 + v)' equal to zero and attempt to solve: Simplifying 3 + v = 0 Solving 3 + v = 0 Move all terms containing v to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + v = 0 + -3 Combine like terms: 3 + -3 = 0 0 + v = 0 + -3 v = 0 + -3 Combine like terms: 0 + -3 = -3 v = -3 Simplifying v = -3Subproblem 2
Set the factor '(2 + v)' equal to zero and attempt to solve: Simplifying 2 + v = 0 Solving 2 + v = 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 + v = 0 + -2 Combine like terms: 2 + -2 = 0 0 + v = 0 + -2 v = 0 + -2 Combine like terms: 0 + -2 = -2 v = -2 Simplifying v = -2Solution
v = {-3, -2}
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