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