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