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Simplifying 11k2 + 18k + 25 = 0 Reorder the terms: 25 + 18k + 11k2 = 0 Solving 25 + 18k + 11k2 = 0 Solving for variable 'k'. Begin completing the square. Divide all terms by 11 the coefficient of the squared term: Divide each side by '11'. 2.272727273 + 1.636363636k + k2 = 0 Move the constant term to the right: Add '-2.272727273' to each side of the equation. 2.272727273 + 1.636363636k + -2.272727273 + k2 = 0 + -2.272727273 Reorder the terms: 2.272727273 + -2.272727273 + 1.636363636k + k2 = 0 + -2.272727273 Combine like terms: 2.272727273 + -2.272727273 = 0.000000000 0.000000000 + 1.636363636k + k2 = 0 + -2.272727273 1.636363636k + k2 = 0 + -2.272727273 Combine like terms: 0 + -2.272727273 = -2.272727273 1.636363636k + k2 = -2.272727273 The k term is 1.636363636k. Take half its coefficient (0.818181818). Square it (0.6694214873) and add it to both sides. Add '0.6694214873' to each side of the equation. 1.636363636k + 0.6694214873 + k2 = -2.272727273 + 0.6694214873 Reorder the terms: 0.6694214873 + 1.636363636k + k2 = -2.272727273 + 0.6694214873 Combine like terms: -2.272727273 + 0.6694214873 = -1.6033057857 0.6694214873 + 1.636363636k + k2 = -1.6033057857 Factor a perfect square on the left side: (k + 0.818181818)(k + 0.818181818) = -1.6033057857 Can't calculate square root of the right side. The solution to this equation could not be determined.
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