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Simplifying x2 + -5ix + -1x = 5I Reorder the terms: -5ix + -1x + x2 = 5I Solving -5ix + -1x + x2 = 5I Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add 'x' to each side of the equation. -5ix + -1x + x + x2 = 5I + x Combine like terms: -1x + x = 0 -5ix + 0 + x2 = 5I + x -5ix + x2 = 5I + x Add '-1x2' to each side of the equation. -5ix + x2 + -1x2 = 5I + x + -1x2 Combine like terms: x2 + -1x2 = 0 -5ix + 0 = 5I + x + -1x2 -5ix = 5I + x + -1x2 Divide each side by '-5x'. i = -1x-1I + -0.2 + 0.2x Simplifying i = -1x-1I + -0.2 + 0.2x Reorder the terms: i = -0.2 + -1x-1I + 0.2x
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