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Simplifying (2 + u)(2 + u) = 0 Multiply (2 + u) * (2 + u) (2(2 + u) + u(2 + u)) = 0 ((2 * 2 + u * 2) + u(2 + u)) = 0 ((4 + 2u) + u(2 + u)) = 0 (4 + 2u + (2 * u + u * u)) = 0 (4 + 2u + (2u + u2)) = 0 Combine like terms: 2u + 2u = 4u (4 + 4u + u2) = 0 Solving 4 + 4u + u2 = 0 Solving for variable 'u'. Factor a trinomial. (2 + u)(2 + u) = 0Subproblem 1
Set the factor '(2 + u)' equal to zero and attempt to solve: Simplifying 2 + u = 0 Solving 2 + u = 0 Move all terms containing u to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + u = 0 + -2 Combine like terms: 2 + -2 = 0 0 + u = 0 + -2 u = 0 + -2 Combine like terms: 0 + -2 = -2 u = -2 Simplifying u = -2Subproblem 2
Set the factor '(2 + u)' equal to zero and attempt to solve: Simplifying 2 + u = 0 Solving 2 + u = 0 Move all terms containing u to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + u = 0 + -2 Combine like terms: 2 + -2 = 0 0 + u = 0 + -2 u = 0 + -2 Combine like terms: 0 + -2 = -2 u = -2 Simplifying u = -2Solution
u = {-2, -2}
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