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Simplifying 2(2k2 + 81) + -1k = 0 Reorder the terms: 2(81 + 2k2) + -1k = 0 (81 * 2 + 2k2 * 2) + -1k = 0 (162 + 4k2) + -1k = 0 Reorder the terms: 162 + -1k + 4k2 = 0 Solving 162 + -1k + 4k2 = 0 Solving for variable 'k'. Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 40.5 + -0.25k + k2 = 0 Move the constant term to the right: Add '-40.5' to each side of the equation. 40.5 + -0.25k + -40.5 + k2 = 0 + -40.5 Reorder the terms: 40.5 + -40.5 + -0.25k + k2 = 0 + -40.5 Combine like terms: 40.5 + -40.5 = 0.0 0.0 + -0.25k + k2 = 0 + -40.5 -0.25k + k2 = 0 + -40.5 Combine like terms: 0 + -40.5 = -40.5 -0.25k + k2 = -40.5 The k term is -0.25k. Take half its coefficient (-0.125). Square it (0.015625) and add it to both sides. Add '0.015625' to each side of the equation. -0.25k + 0.015625 + k2 = -40.5 + 0.015625 Reorder the terms: 0.015625 + -0.25k + k2 = -40.5 + 0.015625 Combine like terms: -40.5 + 0.015625 = -40.484375 0.015625 + -0.25k + k2 = -40.484375 Factor a perfect square on the left side: (k + -0.125)(k + -0.125) = -40.484375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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