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Simplifying (-3 + -5i)(-3 + 5i) = 0 Multiply (-3 + -5i) * (-3 + 5i) (-3(-3 + 5i) + -5i * (-3 + 5i)) = 0 ((-3 * -3 + 5i * -3) + -5i * (-3 + 5i)) = 0 ((9 + -15i) + -5i * (-3 + 5i)) = 0 (9 + -15i + (-3 * -5i + 5i * -5i)) = 0 (9 + -15i + (15i + -25i2)) = 0 Combine like terms: -15i + 15i = 0 (9 + 0 + -25i2) = 0 (9 + -25i2) = 0 Solving 9 + -25i2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -25i2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -25i2 = 0 + -9 -25i2 = 0 + -9 Combine like terms: 0 + -9 = -9 -25i2 = -9 Divide each side by '-25'. i2 = 0.36 Simplifying i2 = 0.36 Take the square root of each side: i = {-0.6, 0.6}
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