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Simplifying x2 + ix + 10 = 6x Reorder the terms: 10 + ix + x2 = 6x Solving 10 + ix + x2 = 6x 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 + ix + -10 + x2 = -10 + 6x Reorder the terms: 10 + -10 + ix + x2 = -10 + 6x Combine like terms: 10 + -10 = 0 0 + ix + x2 = -10 + 6x ix + x2 = -10 + 6x Add '-1x2' to each side of the equation. ix + x2 + -1x2 = -10 + 6x + -1x2 Combine like terms: x2 + -1x2 = 0 ix + 0 = -10 + 6x + -1x2 ix = -10 + 6x + -1x2 Divide each side by 'x'. i = -10x-1 + 6 + -1x Simplifying i = -10x-1 + 6 + -1x Reorder the terms: i = 6 + -10x-1 + -1x
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