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Simplifying K2 + 3K + 10 = 0 Reorder the terms: 10 + 3K + K2 = 0 Solving 10 + 3K + K2 = 0 Solving for variable 'K'. Begin completing the square. Move the constant term to the right: Add '-10' to each side of the equation. 10 + 3K + -10 + K2 = 0 + -10 Reorder the terms: 10 + -10 + 3K + K2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 3K + K2 = 0 + -10 3K + K2 = 0 + -10 Combine like terms: 0 + -10 = -10 3K + K2 = -10 The K term is 3K. Take half its coefficient (1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. 3K + 2.25 + K2 = -10 + 2.25 Reorder the terms: 2.25 + 3K + K2 = -10 + 2.25 Combine like terms: -10 + 2.25 = -7.75 2.25 + 3K + K2 = -7.75 Factor a perfect square on the left side: (K + 1.5)(K + 1.5) = -7.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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