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Simplifying 5k2 + -8k + 12 = 0 Reorder the terms: 12 + -8k + 5k2 = 0 Solving 12 + -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'. 2.4 + -1.6k + k2 = 0 Move the constant term to the right: Add '-2.4' to each side of the equation. 2.4 + -1.6k + -2.4 + k2 = 0 + -2.4 Reorder the terms: 2.4 + -2.4 + -1.6k + k2 = 0 + -2.4 Combine like terms: 2.4 + -2.4 = 0.0 0.0 + -1.6k + k2 = 0 + -2.4 -1.6k + k2 = 0 + -2.4 Combine like terms: 0 + -2.4 = -2.4 -1.6k + k2 = -2.4 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 = -2.4 + 0.64 Reorder the terms: 0.64 + -1.6k + k2 = -2.4 + 0.64 Combine like terms: -2.4 + 0.64 = -1.76 0.64 + -1.6k + k2 = -1.76 Factor a perfect square on the left side: (k + -0.8)(k + -0.8) = -1.76 Can't calculate square root of the right side. The solution to this equation could not be determined.
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