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Simplifying (6 + -1k) * x2 + 2kx + -3k + 12 = 0 Reorder the terms for easier multiplication: x2(6 + -1k) + 2kx + -3k + 12 = 0 (6 * x2 + -1k * x2) + 2kx + -3k + 12 = 0 Reorder the terms: (-1kx2 + 6x2) + 2kx + -3k + 12 = 0 (-1kx2 + 6x2) + 2kx + -3k + 12 = 0 Reorder the terms: 12 + -3k + 2kx + -1kx2 + 6x2 = 0 Solving 12 + -3k + 2kx + -1kx2 + 6x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -3k + 2kx + -1kx2 + -12 + 6x2 = 0 + -12 Reorder the terms: 12 + -12 + -3k + 2kx + -1kx2 + 6x2 = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -3k + 2kx + -1kx2 + 6x2 = 0 + -12 -3k + 2kx + -1kx2 + 6x2 = 0 + -12 Combine like terms: 0 + -12 = -12 -3k + 2kx + -1kx2 + 6x2 = -12 Add '-6x2' to each side of the equation. -3k + 2kx + -1kx2 + 6x2 + -6x2 = -12 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -3k + 2kx + -1kx2 + 0 = -12 + -6x2 -3k + 2kx + -1kx2 = -12 + -6x2 Reorder the terms: 12 + -3k + 2kx + -1kx2 + 6x2 = -12 + -6x2 + 12 + 6x2 Reorder the terms: 12 + -3k + 2kx + -1kx2 + 6x2 = -12 + 12 + -6x2 + 6x2 Combine like terms: -12 + 12 = 0 12 + -3k + 2kx + -1kx2 + 6x2 = 0 + -6x2 + 6x2 12 + -3k + 2kx + -1kx2 + 6x2 = -6x2 + 6x2 Combine like terms: -6x2 + 6x2 = 0 12 + -3k + 2kx + -1kx2 + 6x2 = 0 The solution to this equation could not be determined.
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