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Simplifying (2 + 9i)(2 + 9i) = 0 Multiply (2 + 9i) * (2 + 9i) (2(2 + 9i) + 9i * (2 + 9i)) = 0 ((2 * 2 + 9i * 2) + 9i * (2 + 9i)) = 0 ((4 + 18i) + 9i * (2 + 9i)) = 0 (4 + 18i + (2 * 9i + 9i * 9i)) = 0 (4 + 18i + (18i + 81i2)) = 0 Combine like terms: 18i + 18i = 36i (4 + 36i + 81i2) = 0 Solving 4 + 36i + 81i2 = 0 Solving for variable 'i'. Factor a trinomial. (2 + 9i)(2 + 9i) = 0Subproblem 1
Set the factor '(2 + 9i)' equal to zero and attempt to solve: Simplifying 2 + 9i = 0 Solving 2 + 9i = 0 Move all terms containing i to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 9i = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 9i = 0 + -2 9i = 0 + -2 Combine like terms: 0 + -2 = -2 9i = -2 Divide each side by '9'. i = -0.2222222222 Simplifying i = -0.2222222222Subproblem 2
Set the factor '(2 + 9i)' equal to zero and attempt to solve: Simplifying 2 + 9i = 0 Solving 2 + 9i = 0 Move all terms containing i to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 9i = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 9i = 0 + -2 9i = 0 + -2 Combine like terms: 0 + -2 = -2 9i = -2 Divide each side by '9'. i = -0.2222222222 Simplifying i = -0.2222222222Solution
i = {-0.2222222222, -0.2222222222}
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