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Simplifying (3 + I)(7 + -2i) = 0 Multiply (3 + I) * (7 + -2i) (3(7 + -2i) + I(7 + -2i)) = 0 ((7 * 3 + -2i * 3) + I(7 + -2i)) = 0 ((21 + -6i) + I(7 + -2i)) = 0 (21 + -6i + (7 * I + -2i * I)) = 0 (21 + -6i + (7I + -2iI)) = 0 Reorder the terms: (21 + 7I + -6i + -2iI) = 0 (21 + 7I + -6i + -2iI) = 0 Solving 21 + 7I + -6i + -2iI = 0 Solving for variable 'I'. Move all terms containing I to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + 7I + -6i + -21 + -2iI = 0 + -21 Reorder the terms: 21 + -21 + 7I + -6i + -2iI = 0 + -21 Combine like terms: 21 + -21 = 0 0 + 7I + -6i + -2iI = 0 + -21 7I + -6i + -2iI = 0 + -21 Combine like terms: 0 + -21 = -21 7I + -6i + -2iI = -21 Add '6i' to each side of the equation. 7I + -6i + 6i + -2iI = -21 + 6i Combine like terms: -6i + 6i = 0 7I + 0 + -2iI = -21 + 6i 7I + -2iI = -21 + 6i Reorder the terms: 21 + 7I + -6i + -2iI = -21 + 6i + 21 + -6i Reorder the terms: 21 + 7I + -6i + -2iI = -21 + 21 + 6i + -6i Combine like terms: -21 + 21 = 0 21 + 7I + -6i + -2iI = 0 + 6i + -6i 21 + 7I + -6i + -2iI = 6i + -6i Combine like terms: 6i + -6i = 0 21 + 7I + -6i + -2iI = 0 The solution to this equation could not be determined.
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