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Simplifying 2k2 + 19 = 4k Reorder the terms: 19 + 2k2 = 4k Solving 19 + 2k2 = 4k Solving for variable 'k'. Reorder the terms: 19 + -4k + 2k2 = 4k + -4k Combine like terms: 4k + -4k = 0 19 + -4k + 2k2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 9.5 + -2k + k2 = 0 Move the constant term to the right: Add '-9.5' to each side of the equation. 9.5 + -2k + -9.5 + k2 = 0 + -9.5 Reorder the terms: 9.5 + -9.5 + -2k + k2 = 0 + -9.5 Combine like terms: 9.5 + -9.5 = 0.0 0.0 + -2k + k2 = 0 + -9.5 -2k + k2 = 0 + -9.5 Combine like terms: 0 + -9.5 = -9.5 -2k + k2 = -9.5 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 = -9.5 + 1 Reorder the terms: 1 + -2k + k2 = -9.5 + 1 Combine like terms: -9.5 + 1 = -8.5 1 + -2k + k2 = -8.5 Factor a perfect square on the left side: (k + -1)(k + -1) = -8.5 Can't calculate square root of the right side. The solution to this equation could not be determined.
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