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Simplifying (8 + -7i)(8 + 7i) = 0 Multiply (8 + -7i) * (8 + 7i) (8(8 + 7i) + -7i * (8 + 7i)) = 0 ((8 * 8 + 7i * 8) + -7i * (8 + 7i)) = 0 ((64 + 56i) + -7i * (8 + 7i)) = 0 (64 + 56i + (8 * -7i + 7i * -7i)) = 0 (64 + 56i + (-56i + -49i2)) = 0 Combine like terms: 56i + -56i = 0 (64 + 0 + -49i2) = 0 (64 + -49i2) = 0 Solving 64 + -49i2 = 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 + -49i2 = 0 + -64 Combine like terms: 64 + -64 = 0 0 + -49i2 = 0 + -64 -49i2 = 0 + -64 Combine like terms: 0 + -64 = -64 -49i2 = -64 Divide each side by '-49'. i2 = 1.306122449 Simplifying i2 = 1.306122449 Take the square root of each side: i = {-1.142857143, 1.142857143}
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