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Simplifying x2 + 2kx + -3 = 0 Reorder the terms: -3 + 2kx + x2 = 0 Solving -3 + 2kx + x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 2kx + 3 + x2 = 0 + 3 Reorder the terms: -3 + 3 + 2kx + x2 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 2kx + x2 = 0 + 3 2kx + x2 = 0 + 3 Combine like terms: 0 + 3 = 3 2kx + x2 = 3 Add '-1x2' to each side of the equation. 2kx + x2 + -1x2 = 3 + -1x2 Combine like terms: x2 + -1x2 = 0 2kx + 0 = 3 + -1x2 2kx = 3 + -1x2 Divide each side by '2x'. k = 1.5x-1 + -0.5x Simplifying k = 1.5x-1 + -0.5x
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