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Simplifying x2 + -6ix + 8 = 0 Reorder the terms: 8 + -6ix + x2 = 0 Solving 8 + -6ix + x2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -6ix + -8 + x2 = 0 + -8 Reorder the terms: 8 + -8 + -6ix + x2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -6ix + x2 = 0 + -8 -6ix + x2 = 0 + -8 Combine like terms: 0 + -8 = -8 -6ix + x2 = -8 Add '-1x2' to each side of the equation. -6ix + x2 + -1x2 = -8 + -1x2 Combine like terms: x2 + -1x2 = 0 -6ix + 0 = -8 + -1x2 -6ix = -8 + -1x2 Divide each side by '-6x'. i = 1.333333333x-1 + 0.1666666667x Simplifying i = 1.333333333x-1 + 0.1666666667x
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