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Simplifying 4 + -1(-5 + 8i) + -1(-2 + -1i) = 0 4 + (-5 * -1 + 8i * -1) + -1(-2 + -1i) = 0 4 + (5 + -8i) + -1(-2 + -1i) = 0 4 + 5 + -8i + (-2 * -1 + -1i * -1) = 0 4 + 5 + -8i + (2 + 1i) = 0 Reorder the terms: 4 + 5 + 2 + -8i + 1i = 0 Combine like terms: 4 + 5 = 9 9 + 2 + -8i + 1i = 0 Combine like terms: 9 + 2 = 11 11 + -8i + 1i = 0 Combine like terms: -8i + 1i = -7i 11 + -7i = 0 Solving 11 + -7i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -7i = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -7i = 0 + -11 -7i = 0 + -11 Combine like terms: 0 + -11 = -11 -7i = -11 Divide each side by '-7'. i = 1.571428571 Simplifying i = 1.571428571
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