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Simplifying x2 + -1ix + -6x + 10 = 0 Reorder the terms: 10 + -1ix + -6x + x2 = 0 Solving 10 + -1ix + -6x + x2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -1ix + -6x + -10 + x2 = 0 + -10 Reorder the terms: 10 + -10 + -1ix + -6x + x2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1ix + -6x + x2 = 0 + -10 -1ix + -6x + x2 = 0 + -10 Combine like terms: 0 + -10 = -10 -1ix + -6x + x2 = -10 Add '6x' to each side of the equation. -1ix + -6x + 6x + x2 = -10 + 6x Combine like terms: -6x + 6x = 0 -1ix + 0 + x2 = -10 + 6x -1ix + x2 = -10 + 6x Add '-1x2' to each side of the equation. -1ix + x2 + -1x2 = -10 + 6x + -1x2 Combine like terms: x2 + -1x2 = 0 -1ix + 0 = -10 + 6x + -1x2 -1ix = -10 + 6x + -1x2 Divide each side by '-1x'. i = 10x-1 + -6 + x Simplifying i = 10x-1 + -6 + x Reorder the terms: i = -6 + 10x-1 + x
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