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Simplifying k2 + 16k + 85 = 8 Reorder the terms: 85 + 16k + k2 = 8 Solving 85 + 16k + k2 = 8 Solving for variable 'k'. Reorder the terms: 85 + -8 + 16k + k2 = 8 + -8 Combine like terms: 85 + -8 = 77 77 + 16k + k2 = 8 + -8 Combine like terms: 8 + -8 = 0 77 + 16k + k2 = 0 Begin completing the square. Move the constant term to the right: Add '-77' to each side of the equation. 77 + 16k + -77 + k2 = 0 + -77 Reorder the terms: 77 + -77 + 16k + k2 = 0 + -77 Combine like terms: 77 + -77 = 0 0 + 16k + k2 = 0 + -77 16k + k2 = 0 + -77 Combine like terms: 0 + -77 = -77 16k + k2 = -77 The k term is 16k. Take half its coefficient (8). Square it (64) and add it to both sides. Add '64' to each side of the equation. 16k + 64 + k2 = -77 + 64 Reorder the terms: 64 + 16k + k2 = -77 + 64 Combine like terms: -77 + 64 = -13 64 + 16k + k2 = -13 Factor a perfect square on the left side: (k + 8)(k + 8) = -13 Can't calculate square root of the right side. The solution to this equation could not be determined.
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