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Simplifying x2 + -8x + 10ix + -40i + 41 = 0 Reorder the terms: 41 + -40i + 10ix + -8x + x2 = 0 Solving 41 + -40i + 10ix + -8x + x2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-41' to each side of the equation. 41 + -40i + 10ix + -8x + -41 + x2 = 0 + -41 Reorder the terms: 41 + -41 + -40i + 10ix + -8x + x2 = 0 + -41 Combine like terms: 41 + -41 = 0 0 + -40i + 10ix + -8x + x2 = 0 + -41 -40i + 10ix + -8x + x2 = 0 + -41 Combine like terms: 0 + -41 = -41 -40i + 10ix + -8x + x2 = -41 Add '8x' to each side of the equation. -40i + 10ix + -8x + 8x + x2 = -41 + 8x Combine like terms: -8x + 8x = 0 -40i + 10ix + 0 + x2 = -41 + 8x -40i + 10ix + x2 = -41 + 8x Add '-1x2' to each side of the equation. -40i + 10ix + x2 + -1x2 = -41 + 8x + -1x2 Combine like terms: x2 + -1x2 = 0 -40i + 10ix + 0 = -41 + 8x + -1x2 -40i + 10ix = -41 + 8x + -1x2 Reorder the terms: 41 + -40i + 10ix + -8x + x2 = -41 + 8x + -1x2 + 41 + -8x + x2 Reorder the terms: 41 + -40i + 10ix + -8x + x2 = -41 + 41 + 8x + -8x + -1x2 + x2 Combine like terms: -41 + 41 = 0 41 + -40i + 10ix + -8x + x2 = 0 + 8x + -8x + -1x2 + x2 41 + -40i + 10ix + -8x + x2 = 8x + -8x + -1x2 + x2 Combine like terms: 8x + -8x = 0 41 + -40i + 10ix + -8x + x2 = 0 + -1x2 + x2 41 + -40i + 10ix + -8x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 41 + -40i + 10ix + -8x + x2 = 0 The solution to this equation could not be determined.
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