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Simplifying 9d2 + 2d + 24 = 0 Reorder the terms: 24 + 2d + 9d2 = 0 Solving 24 + 2d + 9d2 = 0 Solving for variable 'd'. Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 2.666666667 + 0.2222222222d + d2 = 0 Move the constant term to the right: Add '-2.666666667' to each side of the equation. 2.666666667 + 0.2222222222d + -2.666666667 + d2 = 0 + -2.666666667 Reorder the terms: 2.666666667 + -2.666666667 + 0.2222222222d + d2 = 0 + -2.666666667 Combine like terms: 2.666666667 + -2.666666667 = 0.000000000 0.000000000 + 0.2222222222d + d2 = 0 + -2.666666667 0.2222222222d + d2 = 0 + -2.666666667 Combine like terms: 0 + -2.666666667 = -2.666666667 0.2222222222d + d2 = -2.666666667 The d term is 0.2222222222d. 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. 0.2222222222d + 0.01234567901 + d2 = -2.666666667 + 0.01234567901 Reorder the terms: 0.01234567901 + 0.2222222222d + d2 = -2.666666667 + 0.01234567901 Combine like terms: -2.666666667 + 0.01234567901 = -2.65432098799 0.01234567901 + 0.2222222222d + d2 = -2.65432098799 Factor a perfect square on the left side: (d + 0.1111111111)(d + 0.1111111111) = -2.65432098799 Can't calculate square root of the right side. The solution to this equation could not be determined.
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