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Simplifying 24a2 + 26a + 9 = 0 Reorder the terms: 9 + 26a + 24a2 = 0 Solving 9 + 26a + 24a2 = 0 Solving for variable 'a'. Begin completing the square. Divide all terms by 24 the coefficient of the squared term: Divide each side by '24'. 0.375 + 1.083333333a + a2 = 0 Move the constant term to the right: Add '-0.375' to each side of the equation. 0.375 + 1.083333333a + -0.375 + a2 = 0 + -0.375 Reorder the terms: 0.375 + -0.375 + 1.083333333a + a2 = 0 + -0.375 Combine like terms: 0.375 + -0.375 = 0.000 0.000 + 1.083333333a + a2 = 0 + -0.375 1.083333333a + a2 = 0 + -0.375 Combine like terms: 0 + -0.375 = -0.375 1.083333333a + a2 = -0.375 The a term is 1.083333333a. Take half its coefficient (0.5416666665). Square it (0.2934027776) and add it to both sides. Add '0.2934027776' to each side of the equation. 1.083333333a + 0.2934027776 + a2 = -0.375 + 0.2934027776 Reorder the terms: 0.2934027776 + 1.083333333a + a2 = -0.375 + 0.2934027776 Combine like terms: -0.375 + 0.2934027776 = -0.0815972224 0.2934027776 + 1.083333333a + a2 = -0.0815972224 Factor a perfect square on the left side: (a + 0.5416666665)(a + 0.5416666665) = -0.0815972224 Can't calculate square root of the right side. The solution to this equation could not be determined.
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