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Simplifying X2 + 3x + -1kx + 2k + -1 = 0 Reorder the terms: -1 + X2 + 2k + -1kx + 3x = 0 Solving -1 + X2 + 2k + -1kx + 3x = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '1' to each side of the equation. -1 + X2 + 2k + -1kx + 1 + 3x = 0 + 1 Reorder the terms: -1 + 1 + X2 + 2k + -1kx + 3x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + X2 + 2k + -1kx + 3x = 0 + 1 X2 + 2k + -1kx + 3x = 0 + 1 Combine like terms: 0 + 1 = 1 X2 + 2k + -1kx + 3x = 1 Add '-2k' to each side of the equation. X2 + 2k + -1kx + -2k + 3x = 1 + -2k Reorder the terms: X2 + 2k + -2k + -1kx + 3x = 1 + -2k Combine like terms: 2k + -2k = 0 X2 + 0 + -1kx + 3x = 1 + -2k X2 + -1kx + 3x = 1 + -2k Add 'kx' to each side of the equation. X2 + -1kx + kx + 3x = 1 + -2k + kx Combine like terms: -1kx + kx = 0 X2 + 0 + 3x = 1 + -2k + kx X2 + 3x = 1 + -2k + kx Add '-3x' to each side of the equation. X2 + 3x + -3x = 1 + -2k + kx + -3x Combine like terms: 3x + -3x = 0 X2 + 0 = 1 + -2k + kx + -3x X2 = 1 + -2k + kx + -3x Simplifying X2 = 1 + -2k + kx + -3x Reorder the terms: -1 + X2 + 2k + -1kx + 3x = 1 + -2k + kx + -3x + -1 + 2k + -1kx + 3x Reorder the terms: -1 + X2 + 2k + -1kx + 3x = 1 + -1 + -2k + 2k + kx + -1kx + -3x + 3x Combine like terms: 1 + -1 = 0 -1 + X2 + 2k + -1kx + 3x = 0 + -2k + 2k + kx + -1kx + -3x + 3x -1 + X2 + 2k + -1kx + 3x = -2k + 2k + kx + -1kx + -3x + 3x Combine like terms: -2k + 2k = 0 -1 + X2 + 2k + -1kx + 3x = 0 + kx + -1kx + -3x + 3x -1 + X2 + 2k + -1kx + 3x = kx + -1kx + -3x + 3x Combine like terms: kx + -1kx = 0 -1 + X2 + 2k + -1kx + 3x = 0 + -3x + 3x -1 + X2 + 2k + -1kx + 3x = -3x + 3x Combine like terms: -3x + 3x = 0 -1 + X2 + 2k + -1kx + 3x = 0 The solution to this equation could not be determined.
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