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Simplifying (6 + 4i)(6 + -4i) = 0 Multiply (6 + 4i) * (6 + -4i) (6(6 + -4i) + 4i * (6 + -4i)) = 0 ((6 * 6 + -4i * 6) + 4i * (6 + -4i)) = 0 ((36 + -24i) + 4i * (6 + -4i)) = 0 (36 + -24i + (6 * 4i + -4i * 4i)) = 0 (36 + -24i + (24i + -16i2)) = 0 Combine like terms: -24i + 24i = 0 (36 + 0 + -16i2) = 0 (36 + -16i2) = 0 Solving 36 + -16i2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + -16i2 = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -16i2 = 0 + -36 -16i2 = 0 + -36 Combine like terms: 0 + -36 = -36 -16i2 = -36 Divide each side by '-16'. i2 = 2.25 Simplifying i2 = 2.25 Take the square root of each side: i = {-1.5, 1.5}
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