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Simplifying 8k2 + 12k + 7 = 0 Reorder the terms: 7 + 12k + 8k2 = 0 Solving 7 + 12k + 8k2 = 0 Solving for variable 'k'. Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 0.875 + 1.5k + k2 = 0 Move the constant term to the right: Add '-0.875' to each side of the equation. 0.875 + 1.5k + -0.875 + k2 = 0 + -0.875 Reorder the terms: 0.875 + -0.875 + 1.5k + k2 = 0 + -0.875 Combine like terms: 0.875 + -0.875 = 0.000 0.000 + 1.5k + k2 = 0 + -0.875 1.5k + k2 = 0 + -0.875 Combine like terms: 0 + -0.875 = -0.875 1.5k + k2 = -0.875 The k term is 1.5k. Take half its coefficient (0.75). Square it (0.5625) and add it to both sides. Add '0.5625' to each side of the equation. 1.5k + 0.5625 + k2 = -0.875 + 0.5625 Reorder the terms: 0.5625 + 1.5k + k2 = -0.875 + 0.5625 Combine like terms: -0.875 + 0.5625 = -0.3125 0.5625 + 1.5k + k2 = -0.3125 Factor a perfect square on the left side: (k + 0.75)(k + 0.75) = -0.3125 Can't calculate square root of the right side. The solution to this equation could not be determined.
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