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Simplifying x2 + -2kx + x + -3k + 7 = 0 Reorder the terms: 7 + -3k + -2kx + x + x2 = 0 Solving 7 + -3k + -2kx + x + x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -3k + -2kx + x + -7 + x2 = 0 + -7 Reorder the terms: 7 + -7 + -3k + -2kx + x + x2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3k + -2kx + x + x2 = 0 + -7 -3k + -2kx + x + x2 = 0 + -7 Combine like terms: 0 + -7 = -7 -3k + -2kx + x + x2 = -7 Add '-1x' to each side of the equation. -3k + -2kx + x + -1x + x2 = -7 + -1x Combine like terms: x + -1x = 0 -3k + -2kx + 0 + x2 = -7 + -1x -3k + -2kx + x2 = -7 + -1x Add '-1x2' to each side of the equation. -3k + -2kx + x2 + -1x2 = -7 + -1x + -1x2 Combine like terms: x2 + -1x2 = 0 -3k + -2kx + 0 = -7 + -1x + -1x2 -3k + -2kx = -7 + -1x + -1x2 Reorder the terms: 7 + -3k + -2kx + x + x2 = -7 + -1x + -1x2 + 7 + x + x2 Reorder the terms: 7 + -3k + -2kx + x + x2 = -7 + 7 + -1x + x + -1x2 + x2 Combine like terms: -7 + 7 = 0 7 + -3k + -2kx + x + x2 = 0 + -1x + x + -1x2 + x2 7 + -3k + -2kx + x + x2 = -1x + x + -1x2 + x2 Combine like terms: -1x + x = 0 7 + -3k + -2kx + x + x2 = 0 + -1x2 + x2 7 + -3k + -2kx + x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 7 + -3k + -2kx + x + x2 = 0 The solution to this equation could not be determined.
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