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Simplifying (2 + v)(2 + v) = 0 Multiply (2 + v) * (2 + v) (2(2 + v) + v(2 + v)) = 0 ((2 * 2 + v * 2) + v(2 + v)) = 0 ((4 + 2v) + v(2 + v)) = 0 (4 + 2v + (2 * v + v * v)) = 0 (4 + 2v + (2v + v2)) = 0 Combine like terms: 2v + 2v = 4v (4 + 4v + v2) = 0 Solving 4 + 4v + v2 = 0 Solving for variable 'v'. Factor a trinomial. (2 + v)(2 + v) = 0Subproblem 1
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 = -2Subproblem 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 = {-2, -2}
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