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Simplifying x2 + 8ix + -25 = 0 Reorder the terms: -25 + 8ix + x2 = 0 Solving -25 + 8ix + x2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 8ix + 25 + x2 = 0 + 25 Reorder the terms: -25 + 25 + 8ix + x2 = 0 + 25 Combine like terms: -25 + 25 = 0 0 + 8ix + x2 = 0 + 25 8ix + x2 = 0 + 25 Combine like terms: 0 + 25 = 25 8ix + x2 = 25 Add '-1x2' to each side of the equation. 8ix + x2 + -1x2 = 25 + -1x2 Combine like terms: x2 + -1x2 = 0 8ix + 0 = 25 + -1x2 8ix = 25 + -1x2 Divide each side by '8x'. i = 3.125x-1 + -0.125x Simplifying i = 3.125x-1 + -0.125x
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