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Simplifying 16a2 + 1 = 7a Reorder the terms: 1 + 16a2 = 7a Solving 1 + 16a2 = 7a Solving for variable 'a'. Reorder the terms: 1 + -7a + 16a2 = 7a + -7a Combine like terms: 7a + -7a = 0 1 + -7a + 16a2 = 0 Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 0.0625 + -0.4375a + a2 = 0 Move the constant term to the right: Add '-0.0625' to each side of the equation. 0.0625 + -0.4375a + -0.0625 + a2 = 0 + -0.0625 Reorder the terms: 0.0625 + -0.0625 + -0.4375a + a2 = 0 + -0.0625 Combine like terms: 0.0625 + -0.0625 = 0.0000 0.0000 + -0.4375a + a2 = 0 + -0.0625 -0.4375a + a2 = 0 + -0.0625 Combine like terms: 0 + -0.0625 = -0.0625 -0.4375a + a2 = -0.0625 The a term is -0.4375a. Take half its coefficient (-0.21875). Square it (0.0478515625) and add it to both sides. Add '0.0478515625' to each side of the equation. -0.4375a + 0.0478515625 + a2 = -0.0625 + 0.0478515625 Reorder the terms: 0.0478515625 + -0.4375a + a2 = -0.0625 + 0.0478515625 Combine like terms: -0.0625 + 0.0478515625 = -0.0146484375 0.0478515625 + -0.4375a + a2 = -0.0146484375 Factor a perfect square on the left side: (a + -0.21875)(a + -0.21875) = -0.0146484375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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