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