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Simplifying X2 + -2k(x + 1) + -1k2 = 0 Reorder the terms: X2 + -2k(1 + x) + -1k2 = 0 X2 + (1 * -2k + x * -2k) + -1k2 = 0 X2 + (-2k + -2kx) + -1k2 = 0 Solving X2 + -2k + -2kx + -1k2 = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '2k' to each side of the equation. X2 + -2k + -2kx + 2k + -1k2 = 0 + 2k Reorder the terms: X2 + -2k + 2k + -2kx + -1k2 = 0 + 2k Combine like terms: -2k + 2k = 0 X2 + 0 + -2kx + -1k2 = 0 + 2k X2 + -2kx + -1k2 = 0 + 2k Remove the zero: X2 + -2kx + -1k2 = 2k Add '2kx' to each side of the equation. X2 + -2kx + 2kx + -1k2 = 2k + 2kx Combine like terms: -2kx + 2kx = 0 X2 + 0 + -1k2 = 2k + 2kx X2 + -1k2 = 2k + 2kx Add 'k2' to each side of the equation. X2 + -1k2 + k2 = 2k + 2kx + k2 Combine like terms: -1k2 + k2 = 0 X2 + 0 = 2k + 2kx + k2 X2 = 2k + 2kx + k2 Simplifying X2 = 2k + 2kx + k2 Reorder the terms: X2 + -2k + -2kx + -1k2 = 2k + -2k + 2kx + -2kx + k2 + -1k2 Combine like terms: 2k + -2k = 0 X2 + -2k + -2kx + -1k2 = 0 + 2kx + -2kx + k2 + -1k2 X2 + -2k + -2kx + -1k2 = 2kx + -2kx + k2 + -1k2 Combine like terms: 2kx + -2kx = 0 X2 + -2k + -2kx + -1k2 = 0 + k2 + -1k2 X2 + -2k + -2kx + -1k2 = k2 + -1k2 Combine like terms: k2 + -1k2 = 0 X2 + -2k + -2kx + -1k2 = 0 The solution to this equation could not be determined.
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