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Simplifying 5a2 + 26a + 64 = 0 Reorder the terms: 64 + 26a + 5a2 = 0 Solving 64 + 26a + 5a2 = 0 Solving for variable 'a'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 12.8 + 5.2a + a2 = 0 Move the constant term to the right: Add '-12.8' to each side of the equation. 12.8 + 5.2a + -12.8 + a2 = 0 + -12.8 Reorder the terms: 12.8 + -12.8 + 5.2a + a2 = 0 + -12.8 Combine like terms: 12.8 + -12.8 = 0.0 0.0 + 5.2a + a2 = 0 + -12.8 5.2a + a2 = 0 + -12.8 Combine like terms: 0 + -12.8 = -12.8 5.2a + a2 = -12.8 The a term is 5.2a. Take half its coefficient (2.6). Square it (6.76) and add it to both sides. Add '6.76' to each side of the equation. 5.2a + 6.76 + a2 = -12.8 + 6.76 Reorder the terms: 6.76 + 5.2a + a2 = -12.8 + 6.76 Combine like terms: -12.8 + 6.76 = -6.04 6.76 + 5.2a + a2 = -6.04 Factor a perfect square on the left side: (a + 2.6)(a + 2.6) = -6.04 Can't calculate square root of the right side. The solution to this equation could not be determined.
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