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