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Simplifying x2 + 2kx + k + 5 = 0 Reorder the terms: 5 + k + 2kx + x2 = 0 Solving 5 + k + 2kx + x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + k + 2kx + -5 + x2 = 0 + -5 Reorder the terms: 5 + -5 + k + 2kx + x2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + k + 2kx + x2 = 0 + -5 k + 2kx + x2 = 0 + -5 Combine like terms: 0 + -5 = -5 k + 2kx + x2 = -5 Add '-1x2' to each side of the equation. k + 2kx + x2 + -1x2 = -5 + -1x2 Combine like terms: x2 + -1x2 = 0 k + 2kx + 0 = -5 + -1x2 k + 2kx = -5 + -1x2 Reorder the terms: 5 + k + 2kx + x2 = -5 + -1x2 + 5 + x2 Reorder the terms: 5 + k + 2kx + x2 = -5 + 5 + -1x2 + x2 Combine like terms: -5 + 5 = 0 5 + k + 2kx + x2 = 0 + -1x2 + x2 5 + k + 2kx + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 5 + k + 2kx + x2 = 0 The solution to this equation could not be determined.
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