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Simplifying (8 + -7i)(6 + I) = 0 Multiply (8 + -7i) * (6 + I) (8(6 + I) + -7i * (6 + I)) = 0 ((6 * 8 + I * 8) + -7i * (6 + I)) = 0 ((48 + 8I) + -7i * (6 + I)) = 0 (48 + 8I + (6 * -7i + I * -7i)) = 0 (48 + 8I + (-42i + -7iI)) = 0 (48 + 8I + -42i + -7iI) = 0 Solving 48 + 8I + -42i + -7iI = 0 Solving for variable 'I'. Move all terms containing I to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + 8I + -42i + -48 + -7iI = 0 + -48 Reorder the terms: 48 + -48 + 8I + -42i + -7iI = 0 + -48 Combine like terms: 48 + -48 = 0 0 + 8I + -42i + -7iI = 0 + -48 8I + -42i + -7iI = 0 + -48 Combine like terms: 0 + -48 = -48 8I + -42i + -7iI = -48 Add '42i' to each side of the equation. 8I + -42i + 42i + -7iI = -48 + 42i Combine like terms: -42i + 42i = 0 8I + 0 + -7iI = -48 + 42i 8I + -7iI = -48 + 42i Reorder the terms: 48 + 8I + -42i + -7iI = -48 + 42i + 48 + -42i Reorder the terms: 48 + 8I + -42i + -7iI = -48 + 48 + 42i + -42i Combine like terms: -48 + 48 = 0 48 + 8I + -42i + -7iI = 0 + 42i + -42i 48 + 8I + -42i + -7iI = 42i + -42i Combine like terms: 42i + -42i = 0 48 + 8I + -42i + -7iI = 0 The solution to this equation could not be determined.
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