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Simplifying 12a2 + -11a + 3 = 0 Reorder the terms: 3 + -11a + 12a2 = 0 Solving 3 + -11a + 12a2 = 0 Solving for variable 'a'. Begin completing the square. Divide all terms by 12 the coefficient of the squared term: Divide each side by '12'. 0.25 + -0.9166666667a + a2 = 0 Move the constant term to the right: Add '-0.25' to each side of the equation. 0.25 + -0.9166666667a + -0.25 + a2 = 0 + -0.25 Reorder the terms: 0.25 + -0.25 + -0.9166666667a + a2 = 0 + -0.25 Combine like terms: 0.25 + -0.25 = 0.00 0.00 + -0.9166666667a + a2 = 0 + -0.25 -0.9166666667a + a2 = 0 + -0.25 Combine like terms: 0 + -0.25 = -0.25 -0.9166666667a + a2 = -0.25 The a term is -0.9166666667a. 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. -0.9166666667a + 0.2100694445 + a2 = -0.25 + 0.2100694445 Reorder the terms: 0.2100694445 + -0.9166666667a + a2 = -0.25 + 0.2100694445 Combine like terms: -0.25 + 0.2100694445 = -0.0399305555 0.2100694445 + -0.9166666667a + a2 = -0.0399305555 Factor a perfect square on the left side: (a + -0.4583333334)(a + -0.4583333334) = -0.0399305555 Can't calculate square root of the right side. The solution to this equation could not be determined.
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