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Simplifying x2 + -5x + 3 + -4i = 0 Reorder the terms: 3 + -4i + -5x + x2 = 0 Solving 3 + -4i + -5x + x2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -4i + -5x + -3 + x2 = 0 + -3 Reorder the terms: 3 + -3 + -4i + -5x + x2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4i + -5x + x2 = 0 + -3 -4i + -5x + x2 = 0 + -3 Combine like terms: 0 + -3 = -3 -4i + -5x + x2 = -3 Add '5x' to each side of the equation. -4i + -5x + 5x + x2 = -3 + 5x Combine like terms: -5x + 5x = 0 -4i + 0 + x2 = -3 + 5x -4i + x2 = -3 + 5x Add '-1x2' to each side of the equation. -4i + x2 + -1x2 = -3 + 5x + -1x2 Combine like terms: x2 + -1x2 = 0 -4i + 0 = -3 + 5x + -1x2 -4i = -3 + 5x + -1x2 Divide each side by '-4'. i = 0.75 + -1.25x + 0.25x2 Simplifying i = 0.75 + -1.25x + 0.25x2
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