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Simplifying x2 + 4kx + k + 2 = 0 Reorder the terms: 2 + k + 4kx + x2 = 0 Solving 2 + k + 4kx + x2 = 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 + k + 4kx + -2 + x2 = 0 + -2 Reorder the terms: 2 + -2 + k + 4kx + x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + k + 4kx + x2 = 0 + -2 k + 4kx + x2 = 0 + -2 Combine like terms: 0 + -2 = -2 k + 4kx + x2 = -2 Add '-1x2' to each side of the equation. k + 4kx + x2 + -1x2 = -2 + -1x2 Combine like terms: x2 + -1x2 = 0 k + 4kx + 0 = -2 + -1x2 k + 4kx = -2 + -1x2 Reorder the terms: 2 + k + 4kx + x2 = -2 + -1x2 + 2 + x2 Reorder the terms: 2 + k + 4kx + x2 = -2 + 2 + -1x2 + x2 Combine like terms: -2 + 2 = 0 2 + k + 4kx + x2 = 0 + -1x2 + x2 2 + k + 4kx + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 2 + k + 4kx + x2 = 0 The solution to this equation could not be determined.
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