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Simplifying 2k = -9k2 + -10 Reorder the terms: 2k = -10 + -9k2 Solving 2k = -10 + -9k2 Solving for variable 'k'. Reorder the terms: 10 + 2k + 9k2 = -10 + -9k2 + 10 + 9k2 Reorder the terms: 10 + 2k + 9k2 = -10 + 10 + -9k2 + 9k2 Combine like terms: -10 + 10 = 0 10 + 2k + 9k2 = 0 + -9k2 + 9k2 10 + 2k + 9k2 = -9k2 + 9k2 Combine like terms: -9k2 + 9k2 = 0 10 + 2k + 9k2 = 0 Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 1.111111111 + 0.2222222222k + k2 = 0 Move the constant term to the right: Add '-1.111111111' to each side of the equation. 1.111111111 + 0.2222222222k + -1.111111111 + k2 = 0 + -1.111111111 Reorder the terms: 1.111111111 + -1.111111111 + 0.2222222222k + k2 = 0 + -1.111111111 Combine like terms: 1.111111111 + -1.111111111 = 0.000000000 0.000000000 + 0.2222222222k + k2 = 0 + -1.111111111 0.2222222222k + k2 = 0 + -1.111111111 Combine like terms: 0 + -1.111111111 = -1.111111111 0.2222222222k + k2 = -1.111111111 The k term is 0.2222222222k. Take half its coefficient (0.1111111111). Square it (0.01234567901) and add it to both sides. Add '0.01234567901' to each side of the equation. 0.2222222222k + 0.01234567901 + k2 = -1.111111111 + 0.01234567901 Reorder the terms: 0.01234567901 + 0.2222222222k + k2 = -1.111111111 + 0.01234567901 Combine like terms: -1.111111111 + 0.01234567901 = -1.09876543199 0.01234567901 + 0.2222222222k + k2 = -1.09876543199 Factor a perfect square on the left side: (k + 0.1111111111)(k + 0.1111111111) = -1.09876543199 Can't calculate square root of the right side. The solution to this equation could not be determined.
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