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Simplifying 12x2 + 31x + 22 = 0 Reorder the terms: 22 + 31x + 12x2 = 0 Solving 22 + 31x + 12x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 12 the coefficient of the squared term: Divide each side by '12'. 1.833333333 + 2.583333333x + x2 = 0 Move the constant term to the right: Add '-1.833333333' to each side of the equation. 1.833333333 + 2.583333333x + -1.833333333 + x2 = 0 + -1.833333333 Reorder the terms: 1.833333333 + -1.833333333 + 2.583333333x + x2 = 0 + -1.833333333 Combine like terms: 1.833333333 + -1.833333333 = 0.000000000 0.000000000 + 2.583333333x + x2 = 0 + -1.833333333 2.583333333x + x2 = 0 + -1.833333333 Combine like terms: 0 + -1.833333333 = -1.833333333 2.583333333x + x2 = -1.833333333 The x term is 2.583333333x. Take half its coefficient (1.291666667). Square it (1.668402779) and add it to both sides. Add '1.668402779' to each side of the equation. 2.583333333x + 1.668402779 + x2 = -1.833333333 + 1.668402779 Reorder the terms: 1.668402779 + 2.583333333x + x2 = -1.833333333 + 1.668402779 Combine like terms: -1.833333333 + 1.668402779 = -0.164930554 1.668402779 + 2.583333333x + x2 = -0.164930554 Factor a perfect square on the left side: (x + 1.291666667)(x + 1.291666667) = -0.164930554 Can't calculate square root of the right side. The solution to this equation could not be determined.
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