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Simplifying (-3 + 2i)(-4 + -1I) = 0 Multiply (-3 + 2i) * (-4 + -1I) (-3(-4 + -1I) + 2i * (-4 + -1I)) = 0 ((-4 * -3 + -1I * -3) + 2i * (-4 + -1I)) = 0 ((12 + 3I) + 2i * (-4 + -1I)) = 0 (12 + 3I + (-4 * 2i + -1I * 2i)) = 0 (12 + 3I + (-8i + -2iI)) = 0 (12 + 3I + -8i + -2iI) = 0 Solving 12 + 3I + -8i + -2iI = 0 Solving for variable 'I'. Move all terms containing I to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 3I + -8i + -12 + -2iI = 0 + -12 Reorder the terms: 12 + -12 + 3I + -8i + -2iI = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 3I + -8i + -2iI = 0 + -12 3I + -8i + -2iI = 0 + -12 Combine like terms: 0 + -12 = -12 3I + -8i + -2iI = -12 Add '8i' to each side of the equation. 3I + -8i + 8i + -2iI = -12 + 8i Combine like terms: -8i + 8i = 0 3I + 0 + -2iI = -12 + 8i 3I + -2iI = -12 + 8i Reorder the terms: 12 + 3I + -8i + -2iI = -12 + 8i + 12 + -8i Reorder the terms: 12 + 3I + -8i + -2iI = -12 + 12 + 8i + -8i Combine like terms: -12 + 12 = 0 12 + 3I + -8i + -2iI = 0 + 8i + -8i 12 + 3I + -8i + -2iI = 8i + -8i Combine like terms: 8i + -8i = 0 12 + 3I + -8i + -2iI = 0 The solution to this equation could not be determined.
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