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Simplifying (-1 + -5i)(-1 + 5i) = 0 Multiply (-1 + -5i) * (-1 + 5i) (-1(-1 + 5i) + -5i * (-1 + 5i)) = 0 ((-1 * -1 + 5i * -1) + -5i * (-1 + 5i)) = 0 ((1 + -5i) + -5i * (-1 + 5i)) = 0 (1 + -5i + (-1 * -5i + 5i * -5i)) = 0 (1 + -5i + (5i + -25i2)) = 0 Combine like terms: -5i + 5i = 0 (1 + 0 + -25i2) = 0 (1 + -25i2) = 0 Solving 1 + -25i2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -25i2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -25i2 = 0 + -1 -25i2 = 0 + -1 Combine like terms: 0 + -1 = -1 -25i2 = -1 Divide each side by '-25'. i2 = 0.04 Simplifying i2 = 0.04 Take the square root of each side: i = {-0.2, 0.2}
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