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Simplifying 8a2 + 5a + 11 = 0 Reorder the terms: 11 + 5a + 8a2 = 0 Solving 11 + 5a + 8a2 = 0 Solving for variable 'a'. Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 1.375 + 0.625a + a2 = 0 Move the constant term to the right: Add '-1.375' to each side of the equation. 1.375 + 0.625a + -1.375 + a2 = 0 + -1.375 Reorder the terms: 1.375 + -1.375 + 0.625a + a2 = 0 + -1.375 Combine like terms: 1.375 + -1.375 = 0.000 0.000 + 0.625a + a2 = 0 + -1.375 0.625a + a2 = 0 + -1.375 Combine like terms: 0 + -1.375 = -1.375 0.625a + a2 = -1.375 The a term is 0.625a. Take half its coefficient (0.3125). Square it (0.09765625) and add it to both sides. Add '0.09765625' to each side of the equation. 0.625a + 0.09765625 + a2 = -1.375 + 0.09765625 Reorder the terms: 0.09765625 + 0.625a + a2 = -1.375 + 0.09765625 Combine like terms: -1.375 + 0.09765625 = -1.27734375 0.09765625 + 0.625a + a2 = -1.27734375 Factor a perfect square on the left side: (a + 0.3125)(a + 0.3125) = -1.27734375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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