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Simplifying (9 + 9i)(4 + i) = 27 + 45i Multiply (9 + 9i) * (4 + i) (9(4 + i) + 9i * (4 + i)) = 27 + 45i ((4 * 9 + i * 9) + 9i * (4 + i)) = 27 + 45i ((36 + 9i) + 9i * (4 + i)) = 27 + 45i (36 + 9i + (4 * 9i + i * 9i)) = 27 + 45i (36 + 9i + (36i + 9i2)) = 27 + 45i Combine like terms: 9i + 36i = 45i (36 + 45i + 9i2) = 27 + 45i Add '-45i' to each side of the equation. 36 + 45i + -45i + 9i2 = 27 + 45i + -45i Combine like terms: 45i + -45i = 0 36 + 0 + 9i2 = 27 + 45i + -45i 36 + 9i2 = 27 + 45i + -45i Combine like terms: 45i + -45i = 0 36 + 9i2 = 27 + 0 36 + 9i2 = 27 Solving 36 + 9i2 = 27 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 + 9i2 = 27 + -36 Combine like terms: 36 + -36 = 0 0 + 9i2 = 27 + -36 9i2 = 27 + -36 Combine like terms: 27 + -36 = -9 9i2 = -9 Divide each side by '9'. i2 = -1 Simplifying i2 = -1 Reorder the terms: 1 + i2 = -1 + 1 Combine like terms: -1 + 1 = 0 1 + i2 = 0 The solution to this equation could not be determined.
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