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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 = 0 (64 + 0 + -81i2) = 0 (64 + -81i2) = 0 Solving 64 + -81i2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-64' to each side of the equation. 64 + -64 + -81i2 = 0 + -64 Combine like terms: 64 + -64 = 0 0 + -81i2 = 0 + -64 -81i2 = 0 + -64 Combine like terms: 0 + -64 = -64 -81i2 = -64 Divide each side by '-81'. i2 = 0.7901234568 Simplifying i2 = 0.7901234568 Take the square root of each side: i = {-0.888888889, 0.888888889}
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