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Simplifying k2 + -14k + 86 = 0 Reorder the terms: 86 + -14k + k2 = 0 Solving 86 + -14k + k2 = 0 Solving for variable 'k'. Begin completing the square. Move the constant term to the right: Add '-86' to each side of the equation. 86 + -14k + -86 + k2 = 0 + -86 Reorder the terms: 86 + -86 + -14k + k2 = 0 + -86 Combine like terms: 86 + -86 = 0 0 + -14k + k2 = 0 + -86 -14k + k2 = 0 + -86 Combine like terms: 0 + -86 = -86 -14k + k2 = -86 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 = -86 + 49 Reorder the terms: 49 + -14k + k2 = -86 + 49 Combine like terms: -86 + 49 = -37 49 + -14k + k2 = -37 Factor a perfect square on the left side: (k + -7)(k + -7) = -37 Can't calculate square root of the right side. The solution to this equation could not be determined.
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