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Simplifying 9x2 + -29x + 31 = 0 Reorder the terms: 31 + -29x + 9x2 = 0 Solving 31 + -29x + 9x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 3.444444444 + -3.222222222x + x2 = 0 Move the constant term to the right: Add '-3.444444444' to each side of the equation. 3.444444444 + -3.222222222x + -3.444444444 + x2 = 0 + -3.444444444 Reorder the terms: 3.444444444 + -3.444444444 + -3.222222222x + x2 = 0 + -3.444444444 Combine like terms: 3.444444444 + -3.444444444 = 0.000000000 0.000000000 + -3.222222222x + x2 = 0 + -3.444444444 -3.222222222x + x2 = 0 + -3.444444444 Combine like terms: 0 + -3.444444444 = -3.444444444 -3.222222222x + x2 = -3.444444444 The x term is -3.222222222x. Take half its coefficient (-1.611111111). Square it (2.595679012) and add it to both sides. Add '2.595679012' to each side of the equation. -3.222222222x + 2.595679012 + x2 = -3.444444444 + 2.595679012 Reorder the terms: 2.595679012 + -3.222222222x + x2 = -3.444444444 + 2.595679012 Combine like terms: -3.444444444 + 2.595679012 = -0.848765432 2.595679012 + -3.222222222x + x2 = -0.848765432 Factor a perfect square on the left side: (x + -1.611111111)(x + -1.611111111) = -0.848765432 Can't calculate square root of the right side. The solution to this equation could not be determined.
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