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Simplifying 16a2 + 17a + 12 = 0 Reorder the terms: 12 + 17a + 16a2 = 0 Solving 12 + 17a + 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'. 0.75 + 1.0625a + a2 = 0 Move the constant term to the right: Add '-0.75' to each side of the equation. 0.75 + 1.0625a + -0.75 + a2 = 0 + -0.75 Reorder the terms: 0.75 + -0.75 + 1.0625a + a2 = 0 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + 1.0625a + a2 = 0 + -0.75 1.0625a + a2 = 0 + -0.75 Combine like terms: 0 + -0.75 = -0.75 1.0625a + a2 = -0.75 The a term is 1.0625a. Take half its coefficient (0.53125). Square it (0.2822265625) and add it to both sides. Add '0.2822265625' to each side of the equation. 1.0625a + 0.2822265625 + a2 = -0.75 + 0.2822265625 Reorder the terms: 0.2822265625 + 1.0625a + a2 = -0.75 + 0.2822265625 Combine like terms: -0.75 + 0.2822265625 = -0.4677734375 0.2822265625 + 1.0625a + a2 = -0.4677734375 Factor a perfect square on the left side: (a + 0.53125)(a + 0.53125) = -0.4677734375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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