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Simplifying x3 + 21x2 + x + 2i = 0 Reorder the terms: 2i + x + 21x2 + x3 = 0 Solving 2i + x + 21x2 + x3 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-1x' to each side of the equation. 2i + x + 21x2 + -1x + x3 = 0 + -1x Reorder the terms: 2i + x + -1x + 21x2 + x3 = 0 + -1x Combine like terms: x + -1x = 0 2i + 0 + 21x2 + x3 = 0 + -1x 2i + 21x2 + x3 = 0 + -1x Remove the zero: 2i + 21x2 + x3 = -1x Add '-21x2' to each side of the equation. 2i + 21x2 + -21x2 + x3 = -1x + -21x2 Combine like terms: 21x2 + -21x2 = 0 2i + 0 + x3 = -1x + -21x2 2i + x3 = -1x + -21x2 Add '-1x3' to each side of the equation. 2i + x3 + -1x3 = -1x + -21x2 + -1x3 Combine like terms: x3 + -1x3 = 0 2i + 0 = -1x + -21x2 + -1x3 2i = -1x + -21x2 + -1x3 Divide each side by '2'. i = -0.5x + -10.5x2 + -0.5x3 Simplifying i = -0.5x + -10.5x2 + -0.5x3
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