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Simplifying 8a6 + 5a3 + 1 = 0 Reorder the terms: 1 + 5a3 + 8a6 = 0 Solving 1 + 5a3 + 8a6 = 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'. 0.125 + 0.625a3 + a6 = 0 Move the constant term to the right: Add '-0.125' to each side of the equation. 0.125 + 0.625a3 + -0.125 + a6 = 0 + -0.125 Reorder the terms: 0.125 + -0.125 + 0.625a3 + a6 = 0 + -0.125 Combine like terms: 0.125 + -0.125 = 0.000 0.000 + 0.625a3 + a6 = 0 + -0.125 0.625a3 + a6 = 0 + -0.125 Combine like terms: 0 + -0.125 = -0.125 0.625a3 + a6 = -0.125 The a term is 0.625a3. 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. 0.625a3 + 0.09765625 + a6 = -0.125 + 0.09765625 Reorder the terms: 0.09765625 + 0.625a3 + a6 = -0.125 + 0.09765625 Combine like terms: -0.125 + 0.09765625 = -0.02734375 0.09765625 + 0.625a3 + a6 = -0.02734375 Factor a perfect square on the left side: (a3 + 0.3125)(a3 + 0.3125) = -0.02734375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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