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Simplifying Kx2 + 4 + x + 6 = 0 Reorder the terms: 4 + 6 + x + x2K = 0 Combine like terms: 4 + 6 = 10 10 + x + x2K = 0 Solving 10 + x + x2K = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by K the coefficient of the squared term: Divide each side by 'K'. 10K-1 + xK-1 + x2 = 0K-1 Move the constant term to the right: Add '-10' to each side of the equation. 10K-1 + xK-1 + -10 + x2 = -10 + 0K-1 Reorder the terms: -10 + 10K-1 + xK-1 + x2 = -10 + 0K-1 Combine like terms: -10 + 0 = -10 -10 + 10K-1 + xK-1 + x2 = -10 The x term is xK-1. Take half its coefficient (0.5K-1). Square it (0.25K-2) and add it to both sides. Add '0.25K-2' to each side of the equation. -10 + 10K-1 + xK-1 + 0.25K-2 + x2 = -10 + 0.25K-2 Reorder the terms: -10 + 0.25K-2 + 10K-1 + xK-1 + x2 = -10 + 0.25K-2 Factor a perfect square on the left side: (x + 0.5K-1)(x + 0.5K-1) = -10 + 0.25K-2 Can't calculate square root of the right side. The solution to this equation could not be determined.
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