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Simplifying (2 + -1)(-3 + 6i) = 0 Combine like terms: 2 + -1 = 1 (1)(-3 + 6i) = 0 (-3 * 1 + 6i * 1) = 0 (-3 + 6i) = 0 Solving -3 + 6i = 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 + 6i = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 6i = 0 + 3 6i = 0 + 3 Combine like terms: 0 + 3 = 3 6i = 3 Divide each side by '6'. i = 0.5 Simplifying i = 0.5
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