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Simplifying k2 + -14k + 64 = 3 Reorder the terms: 64 + -14k + k2 = 3 Solving 64 + -14k + k2 = 3 Solving for variable 'k'. Reorder the terms: 64 + -3 + -14k + k2 = 3 + -3 Combine like terms: 64 + -3 = 61 61 + -14k + k2 = 3 + -3 Combine like terms: 3 + -3 = 0 61 + -14k + k2 = 0 Begin completing the square. Move the constant term to the right: Add '-61' to each side of the equation. 61 + -14k + -61 + k2 = 0 + -61 Reorder the terms: 61 + -61 + -14k + k2 = 0 + -61 Combine like terms: 61 + -61 = 0 0 + -14k + k2 = 0 + -61 -14k + k2 = 0 + -61 Combine like terms: 0 + -61 = -61 -14k + k2 = -61 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 = -61 + 49 Reorder the terms: 49 + -14k + k2 = -61 + 49 Combine like terms: -61 + 49 = -12 49 + -14k + k2 = -12 Factor a perfect square on the left side: (k + -7)(k + -7) = -12 Can't calculate square root of the right side. The solution to this equation could not be determined.
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