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Simplifying (4 + -5i) + -1(9 + 4i) = 0 Remove parenthesis around (4 + -5i) 4 + -5i + -1(9 + 4i) = 0 4 + -5i + (9 * -1 + 4i * -1) = 0 4 + -5i + (-9 + -4i) = 0 Reorder the terms: 4 + -9 + -5i + -4i = 0 Combine like terms: 4 + -9 = -5 -5 + -5i + -4i = 0 Combine like terms: -5i + -4i = -9i -5 + -9i = 0 Solving -5 + -9i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -9i = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -9i = 0 + 5 -9i = 0 + 5 Combine like terms: 0 + 5 = 5 -9i = 5 Divide each side by '-9'. i = -0.5555555556 Simplifying i = -0.5555555556
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