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Simplifying x2 + kx + 0.765625 = 0 Reorder the terms: 0.765625 + kx + x2 = 0 Solving 0.765625 + kx + x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-0.765625' to each side of the equation. 0.765625 + kx + -0.765625 + x2 = 0 + -0.765625 Reorder the terms: 0.765625 + -0.765625 + kx + x2 = 0 + -0.765625 Combine like terms: 0.765625 + -0.765625 = 0.000000 0.000000 + kx + x2 = 0 + -0.765625 kx + x2 = 0 + -0.765625 Combine like terms: 0 + -0.765625 = -0.765625 kx + x2 = -0.765625 Add '-1x2' to each side of the equation. kx + x2 + -1x2 = -0.765625 + -1x2 Combine like terms: x2 + -1x2 = 0 kx + 0 = -0.765625 + -1x2 kx = -0.765625 + -1x2 Divide each side by 'x'. k = -0.765625x-1 + -1x Simplifying k = -0.765625x-1 + -1x
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