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Simplifying k2 + 14k + 50 = 0 Reorder the terms: 50 + 14k + k2 = 0 Solving 50 + 14k + k2 = 0 Solving for variable 'k'. Begin completing the square. Move the constant term to the right: Add '-50' to each side of the equation. 50 + 14k + -50 + k2 = 0 + -50 Reorder the terms: 50 + -50 + 14k + k2 = 0 + -50 Combine like terms: 50 + -50 = 0 0 + 14k + k2 = 0 + -50 14k + k2 = 0 + -50 Combine like terms: 0 + -50 = -50 14k + k2 = -50 The k term is 14k. Take half its coefficient (7). Square it (49) and add it to both sides. Add '49' to each side of the equation. 14k + 49 + k2 = -50 + 49 Reorder the terms: 49 + 14k + k2 = -50 + 49 Combine like terms: -50 + 49 = -1 49 + 14k + k2 = -1 Factor a perfect square on the left side: (k + 7)(k + 7) = -1 Can't calculate square root of the right side. The solution to this equation could not be determined.
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