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Simplifying 5K2 + 22K + 50 = 0 Reorder the terms: 50 + 22K + 5K2 = 0 Solving 50 + 22K + 5K2 = 0 Solving for variable 'K'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 10 + 4.4K + K2 = 0 Move the constant term to the right: Add '-10' to each side of the equation. 10 + 4.4K + -10 + K2 = 0 + -10 Reorder the terms: 10 + -10 + 4.4K + K2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 4.4K + K2 = 0 + -10 4.4K + K2 = 0 + -10 Combine like terms: 0 + -10 = -10 4.4K + K2 = -10 The K term is 4.4K. Take half its coefficient (2.2). Square it (4.84) and add it to both sides. Add '4.84' to each side of the equation. 4.4K + 4.84 + K2 = -10 + 4.84 Reorder the terms: 4.84 + 4.4K + K2 = -10 + 4.84 Combine like terms: -10 + 4.84 = -5.16 4.84 + 4.4K + K2 = -5.16 Factor a perfect square on the left side: (K + 2.2)(K + 2.2) = -5.16 Can't calculate square root of the right side. The solution to this equation could not be determined.
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