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Simplifying 4k2 + 10k = -7 Reorder the terms: 10k + 4k2 = -7 Solving 10k + 4k2 = -7 Solving for variable 'k'. Reorder the terms: 7 + 10k + 4k2 = -7 + 7 Combine like terms: -7 + 7 = 0 7 + 10k + 4k2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 1.75 + 2.5k + k2 = 0 Move the constant term to the right: Add '-1.75' to each side of the equation. 1.75 + 2.5k + -1.75 + k2 = 0 + -1.75 Reorder the terms: 1.75 + -1.75 + 2.5k + k2 = 0 + -1.75 Combine like terms: 1.75 + -1.75 = 0.00 0.00 + 2.5k + k2 = 0 + -1.75 2.5k + k2 = 0 + -1.75 Combine like terms: 0 + -1.75 = -1.75 2.5k + k2 = -1.75 The k term is 2.5k. Take half its coefficient (1.25). Square it (1.5625) and add it to both sides. Add '1.5625' to each side of the equation. 2.5k + 1.5625 + k2 = -1.75 + 1.5625 Reorder the terms: 1.5625 + 2.5k + k2 = -1.75 + 1.5625 Combine like terms: -1.75 + 1.5625 = -0.1875 1.5625 + 2.5k + k2 = -0.1875 Factor a perfect square on the left side: (k + 1.25)(k + 1.25) = -0.1875 Can't calculate square root of the right side. The solution to this equation could not be determined.
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