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Simplifying x2 + -1(2 + i) * x + -1(1 + -7i) = 0 Reorder the terms for easier multiplication: x2 + -1x(2 + i) + -1(1 + -7i) = 0 x2 + (2 * -1x + i * -1x) + -1(1 + -7i) = 0 Reorder the terms: x2 + (-1ix + -2x) + -1(1 + -7i) = 0 x2 + (-1ix + -2x) + -1(1 + -7i) = 0 x2 + -1ix + -2x + (1 * -1 + -7i * -1) = 0 x2 + -1ix + -2x + (-1 + 7i) = 0 Reorder the terms: -1 + 7i + -1ix + -2x + x2 = 0 Solving -1 + 7i + -1ix + -2x + 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 + 7i + -1ix + -2x + 1 + x2 = 0 + 1 Reorder the terms: -1 + 1 + 7i + -1ix + -2x + x2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 7i + -1ix + -2x + x2 = 0 + 1 7i + -1ix + -2x + x2 = 0 + 1 Combine like terms: 0 + 1 = 1 7i + -1ix + -2x + x2 = 1 Add '2x' to each side of the equation. 7i + -1ix + -2x + 2x + x2 = 1 + 2x Combine like terms: -2x + 2x = 0 7i + -1ix + 0 + x2 = 1 + 2x 7i + -1ix + x2 = 1 + 2x Add '-1x2' to each side of the equation. 7i + -1ix + x2 + -1x2 = 1 + 2x + -1x2 Combine like terms: x2 + -1x2 = 0 7i + -1ix + 0 = 1 + 2x + -1x2 7i + -1ix = 1 + 2x + -1x2 Reorder the terms: -1 + 7i + -1ix + -2x + x2 = 1 + 2x + -1x2 + -1 + -2x + x2 Reorder the terms: -1 + 7i + -1ix + -2x + x2 = 1 + -1 + 2x + -2x + -1x2 + x2 Combine like terms: 1 + -1 = 0 -1 + 7i + -1ix + -2x + x2 = 0 + 2x + -2x + -1x2 + x2 -1 + 7i + -1ix + -2x + x2 = 2x + -2x + -1x2 + x2 Combine like terms: 2x + -2x = 0 -1 + 7i + -1ix + -2x + x2 = 0 + -1x2 + x2 -1 + 7i + -1ix + -2x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 -1 + 7i + -1ix + -2x + x2 = 0 The solution to this equation could not be determined.
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