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Simplifying x2 + 8ix + -16 = 0 Reorder the terms: -16 + 8ix + x2 = 0 Solving -16 + 8ix + x2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 8ix + 16 + x2 = 0 + 16 Reorder the terms: -16 + 16 + 8ix + x2 = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 8ix + x2 = 0 + 16 8ix + x2 = 0 + 16 Combine like terms: 0 + 16 = 16 8ix + x2 = 16 Add '-1x2' to each side of the equation. 8ix + x2 + -1x2 = 16 + -1x2 Combine like terms: x2 + -1x2 = 0 8ix + 0 = 16 + -1x2 8ix = 16 + -1x2 Divide each side by '8x'. i = 2x-1 + -0.125x Simplifying i = 2x-1 + -0.125x
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