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