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Simplifying 4k2 = -10 + -9k Solving 4k2 = -10 + -9k Solving for variable 'k'. Reorder the terms: 10 + 9k + 4k2 = -10 + -9k + 10 + 9k Reorder the terms: 10 + 9k + 4k2 = -10 + 10 + -9k + 9k Combine like terms: -10 + 10 = 0 10 + 9k + 4k2 = 0 + -9k + 9k 10 + 9k + 4k2 = -9k + 9k Combine like terms: -9k + 9k = 0 10 + 9k + 4k2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 2.5 + 2.25k + k2 = 0 Move the constant term to the right: Add '-2.5' to each side of the equation. 2.5 + 2.25k + -2.5 + k2 = 0 + -2.5 Reorder the terms: 2.5 + -2.5 + 2.25k + k2 = 0 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + 2.25k + k2 = 0 + -2.5 2.25k + k2 = 0 + -2.5 Combine like terms: 0 + -2.5 = -2.5 2.25k + k2 = -2.5 The k term is 2.25k. Take half its coefficient (1.125). Square it (1.265625) and add it to both sides. Add '1.265625' to each side of the equation. 2.25k + 1.265625 + k2 = -2.5 + 1.265625 Reorder the terms: 1.265625 + 2.25k + k2 = -2.5 + 1.265625 Combine like terms: -2.5 + 1.265625 = -1.234375 1.265625 + 2.25k + k2 = -1.234375 Factor a perfect square on the left side: (k + 1.125)(k + 1.125) = -1.234375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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