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Simplifying (8 + -7i)(9 + i) = 79 + -55i Multiply (8 + -7i) * (9 + i) (8(9 + i) + -7i * (9 + i)) = 79 + -55i ((9 * 8 + i * 8) + -7i * (9 + i)) = 79 + -55i ((72 + 8i) + -7i * (9 + i)) = 79 + -55i (72 + 8i + (9 * -7i + i * -7i)) = 79 + -55i (72 + 8i + (-63i + -7i2)) = 79 + -55i Combine like terms: 8i + -63i = -55i (72 + -55i + -7i2) = 79 + -55i Add '55i' to each side of the equation. 72 + -55i + 55i + -7i2 = 79 + -55i + 55i Combine like terms: -55i + 55i = 0 72 + 0 + -7i2 = 79 + -55i + 55i 72 + -7i2 = 79 + -55i + 55i Combine like terms: -55i + 55i = 0 72 + -7i2 = 79 + 0 72 + -7i2 = 79 Solving 72 + -7i2 = 79 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-72' to each side of the equation. 72 + -72 + -7i2 = 79 + -72 Combine like terms: 72 + -72 = 0 0 + -7i2 = 79 + -72 -7i2 = 79 + -72 Combine like terms: 79 + -72 = 7 -7i2 = 7 Divide each side by '-7'. 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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