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Simplifying 2x2 + -6ix + 8 = 0 Reorder the terms: 8 + -6ix + 2x2 = 0 Solving 8 + -6ix + 2x2 = 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 + 2x2 = 0 + -8 Reorder the terms: 8 + -8 + -6ix + 2x2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -6ix + 2x2 = 0 + -8 -6ix + 2x2 = 0 + -8 Combine like terms: 0 + -8 = -8 -6ix + 2x2 = -8 Add '-2x2' to each side of the equation. -6ix + 2x2 + -2x2 = -8 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -6ix + 0 = -8 + -2x2 -6ix = -8 + -2x2 Divide each side by '-6x'. i = 1.333333333x-1 + 0.3333333333x Simplifying i = 1.333333333x-1 + 0.3333333333x
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