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Simplifying 25a2 + -4a + 16 = 0 Reorder the terms: 16 + -4a + 25a2 = 0 Solving 16 + -4a + 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'. 0.64 + -0.16a + a2 = 0 Move the constant term to the right: Add '-0.64' to each side of the equation. 0.64 + -0.16a + -0.64 + a2 = 0 + -0.64 Reorder the terms: 0.64 + -0.64 + -0.16a + a2 = 0 + -0.64 Combine like terms: 0.64 + -0.64 = 0.00 0.00 + -0.16a + a2 = 0 + -0.64 -0.16a + a2 = 0 + -0.64 Combine like terms: 0 + -0.64 = -0.64 -0.16a + a2 = -0.64 The a term is -0.16a. Take half its coefficient (-0.08). Square it (0.0064) and add it to both sides. Add '0.0064' to each side of the equation. -0.16a + 0.0064 + a2 = -0.64 + 0.0064 Reorder the terms: 0.0064 + -0.16a + a2 = -0.64 + 0.0064 Combine like terms: -0.64 + 0.0064 = -0.6336 0.0064 + -0.16a + a2 = -0.6336 Factor a perfect square on the left side: (a + -0.08)(a + -0.08) = -0.6336 Can't calculate square root of the right side. The solution to this equation could not be determined.
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