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Simplifying x2 + 8ix + -15 = 0 Reorder the terms: -15 + 8ix + x2 = 0 Solving -15 + 8ix + x2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 8ix + 15 + x2 = 0 + 15 Reorder the terms: -15 + 15 + 8ix + x2 = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 8ix + x2 = 0 + 15 8ix + x2 = 0 + 15 Combine like terms: 0 + 15 = 15 8ix + x2 = 15 Add '-1x2' to each side of the equation. 8ix + x2 + -1x2 = 15 + -1x2 Combine like terms: x2 + -1x2 = 0 8ix + 0 = 15 + -1x2 8ix = 15 + -1x2 Divide each side by '8x'. i = 1.875x-1 + -0.125x Simplifying i = 1.875x-1 + -0.125x
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