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Simplifying 22 + -8a = -7a(2 + 7a) + -5 22 + -8a = (2 * -7a + 7a * -7a) + -5 22 + -8a = (-14a + -49a2) + -5 Reorder the terms: 22 + -8a = -5 + -14a + -49a2 Solving 22 + -8a = -5 + -14a + -49a2 Solving for variable 'a'. Reorder the terms: 22 + 5 + -8a + 14a + 49a2 = -5 + -14a + -49a2 + 5 + 14a + 49a2 Combine like terms: 22 + 5 = 27 27 + -8a + 14a + 49a2 = -5 + -14a + -49a2 + 5 + 14a + 49a2 Combine like terms: -8a + 14a = 6a 27 + 6a + 49a2 = -5 + -14a + -49a2 + 5 + 14a + 49a2 Reorder the terms: 27 + 6a + 49a2 = -5 + 5 + -14a + 14a + -49a2 + 49a2 Combine like terms: -5 + 5 = 0 27 + 6a + 49a2 = 0 + -14a + 14a + -49a2 + 49a2 27 + 6a + 49a2 = -14a + 14a + -49a2 + 49a2 Combine like terms: -14a + 14a = 0 27 + 6a + 49a2 = 0 + -49a2 + 49a2 27 + 6a + 49a2 = -49a2 + 49a2 Combine like terms: -49a2 + 49a2 = 0 27 + 6a + 49a2 = 0 Begin completing the square. Divide all terms by 49 the coefficient of the squared term: Divide each side by '49'. 0.5510204082 + 0.1224489796a + a2 = 0 Move the constant term to the right: Add '-0.5510204082' to each side of the equation. 0.5510204082 + 0.1224489796a + -0.5510204082 + a2 = 0 + -0.5510204082 Reorder the terms: 0.5510204082 + -0.5510204082 + 0.1224489796a + a2 = 0 + -0.5510204082 Combine like terms: 0.5510204082 + -0.5510204082 = 0.0000000000 0.0000000000 + 0.1224489796a + a2 = 0 + -0.5510204082 0.1224489796a + a2 = 0 + -0.5510204082 Combine like terms: 0 + -0.5510204082 = -0.5510204082 0.1224489796a + a2 = -0.5510204082 The a term is 0.1224489796a. Take half its coefficient (0.0612244898). Square it (0.003748438151) and add it to both sides. Add '0.003748438151' to each side of the equation. 0.1224489796a + 0.003748438151 + a2 = -0.5510204082 + 0.003748438151 Reorder the terms: 0.003748438151 + 0.1224489796a + a2 = -0.5510204082 + 0.003748438151 Combine like terms: -0.5510204082 + 0.003748438151 = -0.547271970049 0.003748438151 + 0.1224489796a + a2 = -0.547271970049 Factor a perfect square on the left side: (a + 0.0612244898)(a + 0.0612244898) = -0.547271970049 Can't calculate square root of the right side. The solution to this equation could not be determined.
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