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Simplifying x2 + -6x + 9 + 2i = 0 Reorder the terms: 9 + 2i + -6x + x2 = 0 Solving 9 + 2i + -6x + x2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + 2i + -6x + -9 + x2 = 0 + -9 Reorder the terms: 9 + -9 + 2i + -6x + x2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 2i + -6x + x2 = 0 + -9 2i + -6x + x2 = 0 + -9 Combine like terms: 0 + -9 = -9 2i + -6x + x2 = -9 Add '6x' to each side of the equation. 2i + -6x + 6x + x2 = -9 + 6x Combine like terms: -6x + 6x = 0 2i + 0 + x2 = -9 + 6x 2i + x2 = -9 + 6x Add '-1x2' to each side of the equation. 2i + x2 + -1x2 = -9 + 6x + -1x2 Combine like terms: x2 + -1x2 = 0 2i + 0 = -9 + 6x + -1x2 2i = -9 + 6x + -1x2 Divide each side by '2'. i = -4.5 + 3x + -0.5x2 Simplifying i = -4.5 + 3x + -0.5x2
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