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Simplifying 5k2 + 8k + 80 = 0 Reorder the terms: 80 + 8k + 5k2 = 0 Solving 80 + 8k + 5k2 = 0 Solving for variable 'k'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 16 + 1.6k + k2 = 0 Move the constant term to the right: Add '-16' to each side of the equation. 16 + 1.6k + -16 + k2 = 0 + -16 Reorder the terms: 16 + -16 + 1.6k + k2 = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 1.6k + k2 = 0 + -16 1.6k + k2 = 0 + -16 Combine like terms: 0 + -16 = -16 1.6k + k2 = -16 The k term is 1.6k. Take half its coefficient (0.8). Square it (0.64) and add it to both sides. Add '0.64' to each side of the equation. 1.6k + 0.64 + k2 = -16 + 0.64 Reorder the terms: 0.64 + 1.6k + k2 = -16 + 0.64 Combine like terms: -16 + 0.64 = -15.36 0.64 + 1.6k + k2 = -15.36 Factor a perfect square on the left side: (k + 0.8)(k + 0.8) = -15.36 Can't calculate square root of the right side. The solution to this equation could not be determined.
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