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Simplifying 1k2 + 4k + 11 = -10 Reorder the terms: 11 + 4k + 1k2 = -10 Solving 11 + 4k + 1k2 = -10 Solving for variable 'k'. Reorder the terms: 11 + 10 + 4k + 1k2 = -10 + 10 Combine like terms: 11 + 10 = 21 21 + 4k + 1k2 = -10 + 10 Combine like terms: -10 + 10 = 0 21 + 4k + 1k2 = 0 Begin completing the square. Move the constant term to the right: Add '-21' to each side of the equation. 21 + 4k + -21 + k2 = 0 + -21 Reorder the terms: 21 + -21 + 4k + k2 = 0 + -21 Combine like terms: 21 + -21 = 0 0 + 4k + k2 = 0 + -21 4k + k2 = 0 + -21 Combine like terms: 0 + -21 = -21 4k + k2 = -21 The k term is 4k. Take half its coefficient (2). Square it (4) and add it to both sides. Add '4' to each side of the equation. 4k + 4 + k2 = -21 + 4 Reorder the terms: 4 + 4k + k2 = -21 + 4 Combine like terms: -21 + 4 = -17 4 + 4k + k2 = -17 Factor a perfect square on the left side: (k + 2)(k + 2) = -17 Can't calculate square root of the right side. The solution to this equation could not be determined.
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