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Simplifying 0 = 4x2 + 4xi + -1 Reorder the terms: 0 = -1 + 4ix + 4x2 Solving 0 = -1 + 4ix + 4x2 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-4ix' to each side of the equation. 0 + -4ix = -1 + 4ix + -4ix + 4x2 Remove the zero: -4ix = -1 + 4ix + -4ix + 4x2 Combine like terms: 4ix + -4ix = 0 -4ix = -1 + 0 + 4x2 -4ix = -1 + 4x2 Divide each side by '-4x'. i = 0.25x-1 + -1x Simplifying i = 0.25x-1 + -1x
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