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Simplifying X4 + -6x2 + k2 + -3k + 2 = 0 Reorder the terms: 2 + X4 + -3k + k2 + -6x2 = 0 Solving 2 + X4 + -3k + k2 + -6x2 = 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 + X4 + -3k + k2 + -2 + -6x2 = 0 + -2 Reorder the terms: 2 + -2 + X4 + -3k + k2 + -6x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + X4 + -3k + k2 + -6x2 = 0 + -2 X4 + -3k + k2 + -6x2 = 0 + -2 Combine like terms: 0 + -2 = -2 X4 + -3k + k2 + -6x2 = -2 Add '3k' to each side of the equation. X4 + -3k + k2 + 3k + -6x2 = -2 + 3k Reorder the terms: X4 + -3k + 3k + k2 + -6x2 = -2 + 3k Combine like terms: -3k + 3k = 0 X4 + 0 + k2 + -6x2 = -2 + 3k X4 + k2 + -6x2 = -2 + 3k Add '-1k2' to each side of the equation. X4 + k2 + -1k2 + -6x2 = -2 + 3k + -1k2 Combine like terms: k2 + -1k2 = 0 X4 + 0 + -6x2 = -2 + 3k + -1k2 X4 + -6x2 = -2 + 3k + -1k2 Add '6x2' to each side of the equation. X4 + -6x2 + 6x2 = -2 + 3k + -1k2 + 6x2 Combine like terms: -6x2 + 6x2 = 0 X4 + 0 = -2 + 3k + -1k2 + 6x2 X4 = -2 + 3k + -1k2 + 6x2 Simplifying X4 = -2 + 3k + -1k2 + 6x2 Reorder the terms: 2 + X4 + -3k + k2 + -6x2 = -2 + 3k + -1k2 + 6x2 + 2 + -3k + k2 + -6x2 Reorder the terms: 2 + X4 + -3k + k2 + -6x2 = -2 + 2 + 3k + -3k + -1k2 + k2 + 6x2 + -6x2 Combine like terms: -2 + 2 = 0 2 + X4 + -3k + k2 + -6x2 = 0 + 3k + -3k + -1k2 + k2 + 6x2 + -6x2 2 + X4 + -3k + k2 + -6x2 = 3k + -3k + -1k2 + k2 + 6x2 + -6x2 Combine like terms: 3k + -3k = 0 2 + X4 + -3k + k2 + -6x2 = 0 + -1k2 + k2 + 6x2 + -6x2 2 + X4 + -3k + k2 + -6x2 = -1k2 + k2 + 6x2 + -6x2 Combine like terms: -1k2 + k2 = 0 2 + X4 + -3k + k2 + -6x2 = 0 + 6x2 + -6x2 2 + X4 + -3k + k2 + -6x2 = 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 2 + X4 + -3k + k2 + -6x2 = 0 The solution to this equation could not be determined.
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