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Simplifying k2 + 8 = -2k Reorder the terms: 8 + k2 = -2k Solving 8 + k2 = -2k Solving for variable 'k'. Reorder the terms: 8 + 2k + k2 = -2k + 2k Combine like terms: -2k + 2k = 0 8 + 2k + k2 = 0 Begin completing the square. Move the constant term to the right: Add '-8' to each side of the equation. 8 + 2k + -8 + k2 = 0 + -8 Reorder the terms: 8 + -8 + 2k + k2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 2k + k2 = 0 + -8 2k + k2 = 0 + -8 Combine like terms: 0 + -8 = -8 2k + k2 = -8 The k term is 2k. Take half its coefficient (1). Square it (1) and add it to both sides. Add '1' to each side of the equation. 2k + 1 + k2 = -8 + 1 Reorder the terms: 1 + 2k + k2 = -8 + 1 Combine like terms: -8 + 1 = -7 1 + 2k + k2 = -7 Factor a perfect square on the left side: (k + 1)(k + 1) = -7 Can't calculate square root of the right side. The solution to this equation could not be determined.
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