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Simplifying (-4 + 11)(-5 + -8i) = 0 Combine like terms: -4 + 11 = 7 (7)(-5 + -8i) = 0 (-5 * 7 + -8i * 7) = 0 (-35 + -56i) = 0 Solving -35 + -56i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + -56i = 0 + 35 Combine like terms: -35 + 35 = 0 0 + -56i = 0 + 35 -56i = 0 + 35 Combine like terms: 0 + 35 = 35 -56i = 35 Divide each side by '-56'. i = -0.625 Simplifying i = -0.625
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