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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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