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Simplifying 27kx2 + -6(3k + 2) * x + 3k + 2 = 0 Reorder the terms: 27kx2 + -6(2 + 3k) * x + 3k + 2 = 0 Reorder the terms for easier multiplication: 27kx2 + -6x(2 + 3k) + 3k + 2 = 0 27kx2 + (2 * -6x + 3k * -6x) + 3k + 2 = 0 Reorder the terms: 27kx2 + (-18kx + -12x) + 3k + 2 = 0 27kx2 + (-18kx + -12x) + 3k + 2 = 0 Reorder the terms: 2 + 3k + -18kx + 27kx2 + -12x = 0 Solving 2 + 3k + -18kx + 27kx2 + -12x = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 3k + -18kx + 27kx2 + -2 + -12x = 0 + -2 Reorder the terms: 2 + -2 + 3k + -18kx + 27kx2 + -12x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3k + -18kx + 27kx2 + -12x = 0 + -2 3k + -18kx + 27kx2 + -12x = 0 + -2 Combine like terms: 0 + -2 = -2 3k + -18kx + 27kx2 + -12x = -2 Add '12x' to each side of the equation. 3k + -18kx + 27kx2 + -12x + 12x = -2 + 12x Combine like terms: -12x + 12x = 0 3k + -18kx + 27kx2 + 0 = -2 + 12x 3k + -18kx + 27kx2 = -2 + 12x Reorder the terms: 2 + 3k + -18kx + 27kx2 + -12x = -2 + 12x + 2 + -12x Reorder the terms: 2 + 3k + -18kx + 27kx2 + -12x = -2 + 2 + 12x + -12x Combine like terms: -2 + 2 = 0 2 + 3k + -18kx + 27kx2 + -12x = 0 + 12x + -12x 2 + 3k + -18kx + 27kx2 + -12x = 12x + -12x Combine like terms: 12x + -12x = 0 2 + 3k + -18kx + 27kx2 + -12x = 0 The solution to this equation could not be determined.
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