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Simplifying 2x2 + kx + k + 6 = 0 Reorder the terms: 6 + k + kx + 2x2 = 0 Solving 6 + k + kx + 2x2 = 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 + k + kx + -6 + 2x2 = 0 + -6 Reorder the terms: 6 + -6 + k + kx + 2x2 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + k + kx + 2x2 = 0 + -6 k + kx + 2x2 = 0 + -6 Combine like terms: 0 + -6 = -6 k + kx + 2x2 = -6 Add '-2x2' to each side of the equation. k + kx + 2x2 + -2x2 = -6 + -2x2 Combine like terms: 2x2 + -2x2 = 0 k + kx + 0 = -6 + -2x2 k + kx = -6 + -2x2 Reorder the terms: 6 + k + kx + 2x2 = -6 + -2x2 + 6 + 2x2 Reorder the terms: 6 + k + kx + 2x2 = -6 + 6 + -2x2 + 2x2 Combine like terms: -6 + 6 = 0 6 + k + kx + 2x2 = 0 + -2x2 + 2x2 6 + k + kx + 2x2 = -2x2 + 2x2 Combine like terms: -2x2 + 2x2 = 0 6 + k + kx + 2x2 = 0 The solution to this equation could not be determined.
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