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Simplifying x2 + -1(2 + -3i) + -3 + -2i = 0 x2 + (2 * -1 + -3i * -1) + -3 + -2i = 0 x2 + (-2 + 3i) + -3 + -2i = 0 Reorder the terms: -2 + -3 + 3i + -2i + x2 = 0 Combine like terms: -2 + -3 = -5 -5 + 3i + -2i + x2 = 0 Combine like terms: 3i + -2i = 1i -5 + 1i + x2 = 0 Solving -5 + 1i + x2 = 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 + 1i + 5 + x2 = 0 + 5 Reorder the terms: -5 + 5 + 1i + x2 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 1i + x2 = 0 + 5 1i + x2 = 0 + 5 Combine like terms: 0 + 5 = 5 1i + x2 = 5 Add '-1x2' to each side of the equation. 1i + x2 + -1x2 = 5 + -1x2 Combine like terms: x2 + -1x2 = 0 1i + 0 = 5 + -1x2 1i = 5 + -1x2 Divide each side by '1'. i = 5 + -1x2 Simplifying i = 5 + -1x2
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