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Simplifying (8 + 10)(5 + -8i) = 0 Combine like terms: 8 + 10 = 18 (18)(5 + -8i) = 0 (5 * 18 + -8i * 18) = 0 (90 + -144i) = 0 Solving 90 + -144i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-90' to each side of the equation. 90 + -90 + -144i = 0 + -90 Combine like terms: 90 + -90 = 0 0 + -144i = 0 + -90 -144i = 0 + -90 Combine like terms: 0 + -90 = -90 -144i = -90 Divide each side by '-144'. i = 0.625 Simplifying i = 0.625
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