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Simplifying 2a2 + 7a + 8 = 0 Reorder the terms: 8 + 7a + 2a2 = 0 Solving 8 + 7a + 2a2 = 0 Solving for variable 'a'. Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 4 + 3.5a + a2 = 0 Move the constant term to the right: Add '-4' to each side of the equation. 4 + 3.5a + -4 + a2 = 0 + -4 Reorder the terms: 4 + -4 + 3.5a + a2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3.5a + a2 = 0 + -4 3.5a + a2 = 0 + -4 Combine like terms: 0 + -4 = -4 3.5a + a2 = -4 The a term is 3.5a. Take half its coefficient (1.75). Square it (3.0625) and add it to both sides. Add '3.0625' to each side of the equation. 3.5a + 3.0625 + a2 = -4 + 3.0625 Reorder the terms: 3.0625 + 3.5a + a2 = -4 + 3.0625 Combine like terms: -4 + 3.0625 = -0.9375 3.0625 + 3.5a + a2 = -0.9375 Factor a perfect square on the left side: (a + 1.75)(a + 1.75) = -0.9375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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