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Simplifying (12 + 36i)(1) = 0 Reorder the terms for easier multiplication: 1(12 + 36i) = 0 (12 * 1 + 36i * 1) = 0 (12 + 36i) = 0 Solving 12 + 36i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 36i = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 36i = 0 + -12 36i = 0 + -12 Combine like terms: 0 + -12 = -12 36i = -12 Divide each side by '36'. i = -0.3333333333 Simplifying i = -0.3333333333
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