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Simplifying (9 + -4i)(7 + I) = 0 Multiply (9 + -4i) * (7 + I) (9(7 + I) + -4i * (7 + I)) = 0 ((7 * 9 + I * 9) + -4i * (7 + I)) = 0 ((63 + 9I) + -4i * (7 + I)) = 0 (63 + 9I + (7 * -4i + I * -4i)) = 0 (63 + 9I + (-28i + -4iI)) = 0 (63 + 9I + -28i + -4iI) = 0 Solving 63 + 9I + -28i + -4iI = 0 Solving for variable 'I'. Move all terms containing I to the left, all other terms to the right. Add '-63' to each side of the equation. 63 + 9I + -28i + -63 + -4iI = 0 + -63 Reorder the terms: 63 + -63 + 9I + -28i + -4iI = 0 + -63 Combine like terms: 63 + -63 = 0 0 + 9I + -28i + -4iI = 0 + -63 9I + -28i + -4iI = 0 + -63 Combine like terms: 0 + -63 = -63 9I + -28i + -4iI = -63 Add '28i' to each side of the equation. 9I + -28i + 28i + -4iI = -63 + 28i Combine like terms: -28i + 28i = 0 9I + 0 + -4iI = -63 + 28i 9I + -4iI = -63 + 28i Reorder the terms: 63 + 9I + -28i + -4iI = -63 + 28i + 63 + -28i Reorder the terms: 63 + 9I + -28i + -4iI = -63 + 63 + 28i + -28i Combine like terms: -63 + 63 = 0 63 + 9I + -28i + -4iI = 0 + 28i + -28i 63 + 9I + -28i + -4iI = 28i + -28i Combine like terms: 28i + -28i = 0 63 + 9I + -28i + -4iI = 0 The solution to this equation could not be determined.
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