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Simplifying 2.5a2 + -1.5a + 0.367 = 0 Reorder the terms: 0.367 + -1.5a + 2.5a2 = 0 Solving 0.367 + -1.5a + 2.5a2 = 0 Solving for variable 'a'. Begin completing the square. Divide all terms by 2.5 the coefficient of the squared term: Divide each side by '2.5'. 0.1468 + -0.6a + a2 = 0 Move the constant term to the right: Add '-0.1468' to each side of the equation. 0.1468 + -0.6a + -0.1468 + a2 = 0 + -0.1468 Reorder the terms: 0.1468 + -0.1468 + -0.6a + a2 = 0 + -0.1468 Combine like terms: 0.1468 + -0.1468 = 0.0000 0.0000 + -0.6a + a2 = 0 + -0.1468 -0.6a + a2 = 0 + -0.1468 Combine like terms: 0 + -0.1468 = -0.1468 -0.6a + a2 = -0.1468 The a term is -0.6a. Take half its coefficient (-0.3). Square it (0.09) and add it to both sides. Add '0.09' to each side of the equation. -0.6a + 0.09 + a2 = -0.1468 + 0.09 Reorder the terms: 0.09 + -0.6a + a2 = -0.1468 + 0.09 Combine like terms: -0.1468 + 0.09 = -0.0568 0.09 + -0.6a + a2 = -0.0568 Factor a perfect square on the left side: (a + -0.3)(a + -0.3) = -0.0568 Can't calculate square root of the right side. The solution to this equation could not be determined.
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