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Simplifying (6 + -7i)(6 + -7I) = 0 Multiply (6 + -7i) * (6 + -7I) (6(6 + -7I) + -7i * (6 + -7I)) = 0 ((6 * 6 + -7I * 6) + -7i * (6 + -7I)) = 0 ((36 + -42I) + -7i * (6 + -7I)) = 0 (36 + -42I + (6 * -7i + -7I * -7i)) = 0 (36 + -42I + (-42i + 49iI)) = 0 (36 + -42I + -42i + 49iI) = 0 Solving 36 + -42I + -42i + 49iI = 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 + -42I + -42i + -36 + 49iI = 0 + -36 Reorder the terms: 36 + -36 + -42I + -42i + 49iI = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -42I + -42i + 49iI = 0 + -36 -42I + -42i + 49iI = 0 + -36 Combine like terms: 0 + -36 = -36 -42I + -42i + 49iI = -36 Add '42i' to each side of the equation. -42I + -42i + 42i + 49iI = -36 + 42i Combine like terms: -42i + 42i = 0 -42I + 0 + 49iI = -36 + 42i -42I + 49iI = -36 + 42i Reorder the terms: 36 + -42I + -42i + 49iI = -36 + 42i + 36 + -42i Reorder the terms: 36 + -42I + -42i + 49iI = -36 + 36 + 42i + -42i Combine like terms: -36 + 36 = 0 36 + -42I + -42i + 49iI = 0 + 42i + -42i 36 + -42I + -42i + 49iI = 42i + -42i Combine like terms: 42i + -42i = 0 36 + -42I + -42i + 49iI = 0 The solution to this equation could not be determined.
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