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Simplifying k2 + -14k + 98 = 9 Reorder the terms: 98 + -14k + k2 = 9 Solving 98 + -14k + k2 = 9 Solving for variable 'k'. Reorder the terms: 98 + -9 + -14k + k2 = 9 + -9 Combine like terms: 98 + -9 = 89 89 + -14k + k2 = 9 + -9 Combine like terms: 9 + -9 = 0 89 + -14k + k2 = 0 Begin completing the square. Move the constant term to the right: Add '-89' to each side of the equation. 89 + -14k + -89 + k2 = 0 + -89 Reorder the terms: 89 + -89 + -14k + k2 = 0 + -89 Combine like terms: 89 + -89 = 0 0 + -14k + k2 = 0 + -89 -14k + k2 = 0 + -89 Combine like terms: 0 + -89 = -89 -14k + k2 = -89 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 = -89 + 49 Reorder the terms: 49 + -14k + k2 = -89 + 49 Combine like terms: -89 + 49 = -40 49 + -14k + k2 = -40 Factor a perfect square on the left side: (k + -7)(k + -7) = -40 Can't calculate square root of the right side. The solution to this equation could not be determined.
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