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Simplifying x2 + 2kx + 5 = 0 Reorder the terms: 5 + 2kx + x2 = 0 Solving 5 + 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 + 2kx + -5 + x2 = 0 + -5 Reorder the terms: 5 + -5 + 2kx + x2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2kx + x2 = 0 + -5 2kx + x2 = 0 + -5 Combine like terms: 0 + -5 = -5 2kx + x2 = -5 Add '-1x2' to each side of the equation. 2kx + x2 + -1x2 = -5 + -1x2 Combine like terms: x2 + -1x2 = 0 2kx + 0 = -5 + -1x2 2kx = -5 + -1x2 Divide each side by '2x'. k = -2.5x-1 + -0.5x Simplifying k = -2.5x-1 + -0.5x
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