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Simplifying x2 + -2kx + x = 2k Reorder the terms: -2kx + x + x2 = 2k Solving -2kx + x + x2 = 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. -2kx + x + -2k + x2 = 2k + -2k Reorder the terms: -2k + -2kx + x + x2 = 2k + -2k Combine like terms: 2k + -2k = 0 -2k + -2kx + x + x2 = 0 Add '-1x' to each side of the equation. -2k + -2kx + x + -1x + x2 = 0 + -1x Combine like terms: x + -1x = 0 -2k + -2kx + 0 + x2 = 0 + -1x -2k + -2kx + x2 = 0 + -1x Remove the zero: -2k + -2kx + x2 = -1x Add '-1x2' to each side of the equation. -2k + -2kx + x2 + -1x2 = -1x + -1x2 Combine like terms: x2 + -1x2 = 0 -2k + -2kx + 0 = -1x + -1x2 -2k + -2kx = -1x + -1x2 Reorder the terms: -2k + -2kx + x + x2 = -1x + x + -1x2 + x2 Combine like terms: -1x + x = 0 -2k + -2kx + x + x2 = 0 + -1x2 + x2 -2k + -2kx + x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 -2k + -2kx + x + x2 = 0 The solution to this equation could not be determined.
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