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Simplifying (12 + -8i)(-4 + -1) = 0 Combine like terms: -4 + -1 = -5 (12 + -8i)(-5) = 0 Reorder the terms for easier multiplication: -5(12 + -8i) = 0 (12 * -5 + -8i * -5) = 0 (-60 + 40i) = 0 Solving -60 + 40i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '60' to each side of the equation. -60 + 60 + 40i = 0 + 60 Combine like terms: -60 + 60 = 0 0 + 40i = 0 + 60 40i = 0 + 60 Combine like terms: 0 + 60 = 60 40i = 60 Divide each side by '40'. i = 1.5 Simplifying i = 1.5
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