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Simplifying 4k2 + -8k + 16 = 5 Reorder the terms: 16 + -8k + 4k2 = 5 Solving 16 + -8k + 4k2 = 5 Solving for variable 'k'. Reorder the terms: 16 + -5 + -8k + 4k2 = 5 + -5 Combine like terms: 16 + -5 = 11 11 + -8k + 4k2 = 5 + -5 Combine like terms: 5 + -5 = 0 11 + -8k + 4k2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 2.75 + -2k + k2 = 0 Move the constant term to the right: Add '-2.75' to each side of the equation. 2.75 + -2k + -2.75 + k2 = 0 + -2.75 Reorder the terms: 2.75 + -2.75 + -2k + k2 = 0 + -2.75 Combine like terms: 2.75 + -2.75 = 0.00 0.00 + -2k + k2 = 0 + -2.75 -2k + k2 = 0 + -2.75 Combine like terms: 0 + -2.75 = -2.75 -2k + k2 = -2.75 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 = -2.75 + 1 Reorder the terms: 1 + -2k + k2 = -2.75 + 1 Combine like terms: -2.75 + 1 = -1.75 1 + -2k + k2 = -1.75 Factor a perfect square on the left side: (k + -1)(k + -1) = -1.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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