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