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Simplifying (8 + -61)(-4 + -4i) = 0 Combine like terms: 8 + -61 = -53 (-53)(-4 + -4i) = 0 (-4 * -53 + -4i * -53) = 0 (212 + 212i) = 0 Solving 212 + 212i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-212' to each side of the equation. 212 + -212 + 212i = 0 + -212 Combine like terms: 212 + -212 = 0 0 + 212i = 0 + -212 212i = 0 + -212 Combine like terms: 0 + -212 = -212 212i = -212 Divide each side by '212'. i = -1 Simplifying i = -1
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