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Simplifying 25a2 + -8a + 1 = 0 Reorder the terms: 1 + -8a + 25a2 = 0 Solving 1 + -8a + 25a2 = 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'. 0.04 + -0.32a + a2 = 0 Move the constant term to the right: Add '-0.04' to each side of the equation. 0.04 + -0.32a + -0.04 + a2 = 0 + -0.04 Reorder the terms: 0.04 + -0.04 + -0.32a + a2 = 0 + -0.04 Combine like terms: 0.04 + -0.04 = 0.00 0.00 + -0.32a + a2 = 0 + -0.04 -0.32a + a2 = 0 + -0.04 Combine like terms: 0 + -0.04 = -0.04 -0.32a + a2 = -0.04 The a term is -0.32a. Take half its coefficient (-0.16). Square it (0.0256) and add it to both sides. Add '0.0256' to each side of the equation. -0.32a + 0.0256 + a2 = -0.04 + 0.0256 Reorder the terms: 0.0256 + -0.32a + a2 = -0.04 + 0.0256 Combine like terms: -0.04 + 0.0256 = -0.0144 0.0256 + -0.32a + a2 = -0.0144 Factor a perfect square on the left side: (a + -0.16)(a + -0.16) = -0.0144 Can't calculate square root of the right side. The solution to this equation could not be determined.
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