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