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Simplifying (-9 + 7i)(4 + I) = 0 Multiply (-9 + 7i) * (4 + I) (-9(4 + I) + 7i * (4 + I)) = 0 ((4 * -9 + I * -9) + 7i * (4 + I)) = 0 ((-36 + -9I) + 7i * (4 + I)) = 0 (-36 + -9I + (4 * 7i + I * 7i)) = 0 (-36 + -9I + (28i + 7iI)) = 0 (-36 + -9I + 28i + 7iI) = 0 Solving -36 + -9I + 28i + 7iI = 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 + -9I + 28i + 36 + 7iI = 0 + 36 Reorder the terms: -36 + 36 + -9I + 28i + 7iI = 0 + 36 Combine like terms: -36 + 36 = 0 0 + -9I + 28i + 7iI = 0 + 36 -9I + 28i + 7iI = 0 + 36 Combine like terms: 0 + 36 = 36 -9I + 28i + 7iI = 36 Add '-28i' to each side of the equation. -9I + 28i + -28i + 7iI = 36 + -28i Combine like terms: 28i + -28i = 0 -9I + 0 + 7iI = 36 + -28i -9I + 7iI = 36 + -28i Reorder the terms: -36 + -9I + 28i + 7iI = 36 + -28i + -36 + 28i Reorder the terms: -36 + -9I + 28i + 7iI = 36 + -36 + -28i + 28i Combine like terms: 36 + -36 = 0 -36 + -9I + 28i + 7iI = 0 + -28i + 28i -36 + -9I + 28i + 7iI = -28i + 28i Combine like terms: -28i + 28i = 0 -36 + -9I + 28i + 7iI = 0 The solution to this equation could not be determined.
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