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Simplifying 4k2 + 7 = 5k Reorder the terms: 7 + 4k2 = 5k Solving 7 + 4k2 = 5k Solving for variable 'k'. Reorder the terms: 7 + -5k + 4k2 = 5k + -5k Combine like terms: 5k + -5k = 0 7 + -5k + 4k2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 1.75 + -1.25k + k2 = 0 Move the constant term to the right: Add '-1.75' to each side of the equation. 1.75 + -1.25k + -1.75 + k2 = 0 + -1.75 Reorder the terms: 1.75 + -1.75 + -1.25k + k2 = 0 + -1.75 Combine like terms: 1.75 + -1.75 = 0.00 0.00 + -1.25k + k2 = 0 + -1.75 -1.25k + k2 = 0 + -1.75 Combine like terms: 0 + -1.75 = -1.75 -1.25k + k2 = -1.75 The k term is -1.25k. Take half its coefficient (-0.625). Square it (0.390625) and add it to both sides. Add '0.390625' to each side of the equation. -1.25k + 0.390625 + k2 = -1.75 + 0.390625 Reorder the terms: 0.390625 + -1.25k + k2 = -1.75 + 0.390625 Combine like terms: -1.75 + 0.390625 = -1.359375 0.390625 + -1.25k + k2 = -1.359375 Factor a perfect square on the left side: (k + -0.625)(k + -0.625) = -1.359375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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