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Simplifying 12x2 + -11x + 22 = 0 Reorder the terms: 22 + -11x + 12x2 = 0 Solving 22 + -11x + 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 + -0.9166666667x + x2 = 0 Move the constant term to the right: Add '-1.833333333' to each side of the equation. 1.833333333 + -0.9166666667x + -1.833333333 + x2 = 0 + -1.833333333 Reorder the terms: 1.833333333 + -1.833333333 + -0.9166666667x + x2 = 0 + -1.833333333 Combine like terms: 1.833333333 + -1.833333333 = 0.000000000 0.000000000 + -0.9166666667x + x2 = 0 + -1.833333333 -0.9166666667x + x2 = 0 + -1.833333333 Combine like terms: 0 + -1.833333333 = -1.833333333 -0.9166666667x + x2 = -1.833333333 The x term is -0.9166666667x. Take half its coefficient (-0.4583333334). Square it (0.2100694445) and add it to both sides. Add '0.2100694445' to each side of the equation. -0.9166666667x + 0.2100694445 + x2 = -1.833333333 + 0.2100694445 Reorder the terms: 0.2100694445 + -0.9166666667x + x2 = -1.833333333 + 0.2100694445 Combine like terms: -1.833333333 + 0.2100694445 = -1.6232638885 0.2100694445 + -0.9166666667x + x2 = -1.6232638885 Factor a perfect square on the left side: (x + -0.4583333334)(x + -0.4583333334) = -1.6232638885 Can't calculate square root of the right side. The solution to this equation could not be determined.
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