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Simplifying 31x2 + -347x + 1041 = 0 Reorder the terms: 1041 + -347x + 31x2 = 0 Solving 1041 + -347x + 31x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 31 the coefficient of the squared term: Divide each side by '31'. 33.58064516 + -11.19354839x + x2 = 0 Move the constant term to the right: Add '-33.58064516' to each side of the equation. 33.58064516 + -11.19354839x + -33.58064516 + x2 = 0 + -33.58064516 Reorder the terms: 33.58064516 + -33.58064516 + -11.19354839x + x2 = 0 + -33.58064516 Combine like terms: 33.58064516 + -33.58064516 = 0.00000000 0.00000000 + -11.19354839x + x2 = 0 + -33.58064516 -11.19354839x + x2 = 0 + -33.58064516 Combine like terms: 0 + -33.58064516 = -33.58064516 -11.19354839x + x2 = -33.58064516 The x term is -11.19354839x. Take half its coefficient (-5.596774195). Square it (31.32388139) and add it to both sides. Add '31.32388139' to each side of the equation. -11.19354839x + 31.32388139 + x2 = -33.58064516 + 31.32388139 Reorder the terms: 31.32388139 + -11.19354839x + x2 = -33.58064516 + 31.32388139 Combine like terms: -33.58064516 + 31.32388139 = -2.25676377 31.32388139 + -11.19354839x + x2 = -2.25676377 Factor a perfect square on the left side: (x + -5.596774195)(x + -5.596774195) = -2.25676377 Can't calculate square root of the right side. The solution to this equation could not be determined.
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