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Simplifying x2 + -6x + 3xi + 3 = 0 Reorder the terms: 3 + 3ix + -6x + x2 = 0 Solving 3 + 3ix + -6x + x2 = 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 + 3ix + -6x + -3 + x2 = 0 + -3 Reorder the terms: 3 + -3 + 3ix + -6x + x2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 3ix + -6x + x2 = 0 + -3 3ix + -6x + x2 = 0 + -3 Combine like terms: 0 + -3 = -3 3ix + -6x + x2 = -3 Add '6x' to each side of the equation. 3ix + -6x + 6x + x2 = -3 + 6x Combine like terms: -6x + 6x = 0 3ix + 0 + x2 = -3 + 6x 3ix + x2 = -3 + 6x Add '-1x2' to each side of the equation. 3ix + x2 + -1x2 = -3 + 6x + -1x2 Combine like terms: x2 + -1x2 = 0 3ix + 0 = -3 + 6x + -1x2 3ix = -3 + 6x + -1x2 Divide each side by '3x'. i = -1x-1 + 2 + -0.3333333333x Simplifying i = -1x-1 + 2 + -0.3333333333x Reorder the terms: i = 2 + -1x-1 + -0.3333333333x
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