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