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