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Simplifying 59a2 + -22a = -8 Reorder the terms: -22a + 59a2 = -8 Solving -22a + 59a2 = -8 Solving for variable 'a'. Reorder the terms: 8 + -22a + 59a2 = -8 + 8 Combine like terms: -8 + 8 = 0 8 + -22a + 59a2 = 0 Begin completing the square. Divide all terms by 59 the coefficient of the squared term: Divide each side by '59'. 0.1355932203 + -0.3728813559a + a2 = 0 Move the constant term to the right: Add '-0.1355932203' to each side of the equation. 0.1355932203 + -0.3728813559a + -0.1355932203 + a2 = 0 + -0.1355932203 Reorder the terms: 0.1355932203 + -0.1355932203 + -0.3728813559a + a2 = 0 + -0.1355932203 Combine like terms: 0.1355932203 + -0.1355932203 = 0.0000000000 0.0000000000 + -0.3728813559a + a2 = 0 + -0.1355932203 -0.3728813559a + a2 = 0 + -0.1355932203 Combine like terms: 0 + -0.1355932203 = -0.1355932203 -0.3728813559a + a2 = -0.1355932203 The a term is -0.3728813559a. Take half its coefficient (-0.186440678). Square it (0.03476012641) and add it to both sides. Add '0.03476012641' to each side of the equation. -0.3728813559a + 0.03476012641 + a2 = -0.1355932203 + 0.03476012641 Reorder the terms: 0.03476012641 + -0.3728813559a + a2 = -0.1355932203 + 0.03476012641 Combine like terms: -0.1355932203 + 0.03476012641 = -0.10083309389 0.03476012641 + -0.3728813559a + a2 = -0.10083309389 Factor a perfect square on the left side: (a + -0.186440678)(a + -0.186440678) = -0.10083309389 Can't calculate square root of the right side. The solution to this equation could not be determined.
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