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Simplifying 16a2 + -12a + 3 = 0 Reorder the terms: 3 + -12a + 16a2 = 0 Solving 3 + -12a + 16a2 = 0 Solving for variable 'a'. Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 0.1875 + -0.75a + a2 = 0 Move the constant term to the right: Add '-0.1875' to each side of the equation. 0.1875 + -0.75a + -0.1875 + a2 = 0 + -0.1875 Reorder the terms: 0.1875 + -0.1875 + -0.75a + a2 = 0 + -0.1875 Combine like terms: 0.1875 + -0.1875 = 0.0000 0.0000 + -0.75a + a2 = 0 + -0.1875 -0.75a + a2 = 0 + -0.1875 Combine like terms: 0 + -0.1875 = -0.1875 -0.75a + a2 = -0.1875 The a term is -0.75a. Take half its coefficient (-0.375). Square it (0.140625) and add it to both sides. Add '0.140625' to each side of the equation. -0.75a + 0.140625 + a2 = -0.1875 + 0.140625 Reorder the terms: 0.140625 + -0.75a + a2 = -0.1875 + 0.140625 Combine like terms: -0.1875 + 0.140625 = -0.046875 0.140625 + -0.75a + a2 = -0.046875 Factor a perfect square on the left side: (a + -0.375)(a + -0.375) = -0.046875 Can't calculate square root of the right side. The solution to this equation could not be determined.
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