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Simplifying (8 + 9i)(8 + 9i) = 0 Multiply (8 + 9i) * (8 + 9i) (8(8 + 9i) + 9i * (8 + 9i)) = 0 ((8 * 8 + 9i * 8) + 9i * (8 + 9i)) = 0 ((64 + 72i) + 9i * (8 + 9i)) = 0 (64 + 72i + (8 * 9i + 9i * 9i)) = 0 (64 + 72i + (72i + 81i2)) = 0 Combine like terms: 72i + 72i = 144i (64 + 144i + 81i2) = 0 Solving 64 + 144i + 81i2 = 0 Solving for variable 'i'. Factor a trinomial. (8 + 9i)(8 + 9i) = 0Subproblem 1
Set the factor '(8 + 9i)' equal to zero and attempt to solve: Simplifying 8 + 9i = 0 Solving 8 + 9i = 0 Move all terms containing i to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 9i = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 9i = 0 + -8 9i = 0 + -8 Combine like terms: 0 + -8 = -8 9i = -8 Divide each side by '9'. i = -0.8888888889 Simplifying i = -0.8888888889Subproblem 2
Set the factor '(8 + 9i)' equal to zero and attempt to solve: Simplifying 8 + 9i = 0 Solving 8 + 9i = 0 Move all terms containing i to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 9i = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 9i = 0 + -8 9i = 0 + -8 Combine like terms: 0 + -8 = -8 9i = -8 Divide each side by '9'. i = -0.8888888889 Simplifying i = -0.8888888889Solution
i = {-0.8888888889, -0.8888888889}
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