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Simplifying 12x2 + 11x + 4 = 0 Reorder the terms: 4 + 11x + 12x2 = 0 Solving 4 + 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'. 0.3333333333 + 0.9166666667x + x2 = 0 Move the constant term to the right: Add '-0.3333333333' to each side of the equation. 0.3333333333 + 0.9166666667x + -0.3333333333 + x2 = 0 + -0.3333333333 Reorder the terms: 0.3333333333 + -0.3333333333 + 0.9166666667x + x2 = 0 + -0.3333333333 Combine like terms: 0.3333333333 + -0.3333333333 = 0.0000000000 0.0000000000 + 0.9166666667x + x2 = 0 + -0.3333333333 0.9166666667x + x2 = 0 + -0.3333333333 Combine like terms: 0 + -0.3333333333 = -0.3333333333 0.9166666667x + x2 = -0.3333333333 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 = -0.3333333333 + 0.2100694445 Reorder the terms: 0.2100694445 + 0.9166666667x + x2 = -0.3333333333 + 0.2100694445 Combine like terms: -0.3333333333 + 0.2100694445 = -0.1232638888 0.2100694445 + 0.9166666667x + x2 = -0.1232638888 Factor a perfect square on the left side: (x + 0.4583333334)(x + 0.4583333334) = -0.1232638888 Can't calculate square root of the right side. The solution to this equation could not be determined.
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