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Simplifying 25a6 + -2a3 + 4 = 0 Reorder the terms: 4 + -2a3 + 25a6 = 0 Solving 4 + -2a3 + 25a6 = 0 Solving for variable 'a'. Begin completing the square. Divide all terms by 25 the coefficient of the squared term: Divide each side by '25'. 0.16 + -0.08a3 + a6 = 0 Move the constant term to the right: Add '-0.16' to each side of the equation. 0.16 + -0.08a3 + -0.16 + a6 = 0 + -0.16 Reorder the terms: 0.16 + -0.16 + -0.08a3 + a6 = 0 + -0.16 Combine like terms: 0.16 + -0.16 = 0.00 0.00 + -0.08a3 + a6 = 0 + -0.16 -0.08a3 + a6 = 0 + -0.16 Combine like terms: 0 + -0.16 = -0.16 -0.08a3 + a6 = -0.16 The a term is -0.08a3. Take half its coefficient (-0.04). Square it (0.0016) and add it to both sides. Add '0.0016' to each side of the equation. -0.08a3 + 0.0016 + a6 = -0.16 + 0.0016 Reorder the terms: 0.0016 + -0.08a3 + a6 = -0.16 + 0.0016 Combine like terms: -0.16 + 0.0016 = -0.1584 0.0016 + -0.08a3 + a6 = -0.1584 Factor a perfect square on the left side: (a3 + -0.04)(a3 + -0.04) = -0.1584 Can't calculate square root of the right side. The solution to this equation could not be determined.
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