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Simplifying (2 + -4i) + (1 + -4i) = 0 Remove parenthesis around (2 + -4i) 2 + -4i + (1 + -4i) = 0 Remove parenthesis around (1 + -4i) 2 + -4i + 1 + -4i = 0 Reorder the terms: 2 + 1 + -4i + -4i = 0 Combine like terms: 2 + 1 = 3 3 + -4i + -4i = 0 Combine like terms: -4i + -4i = -8i 3 + -8i = 0 Solving 3 + -8i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -8i = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -8i = 0 + -3 -8i = 0 + -3 Combine like terms: 0 + -3 = -3 -8i = -3 Divide each side by '-8'. i = 0.375 Simplifying i = 0.375
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