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Simplifying 11a2 + -32a + 37 = 0 Reorder the terms: 37 + -32a + 11a2 = 0 Solving 37 + -32a + 11a2 = 0 Solving for variable 'a'. Begin completing the square. Divide all terms by 11 the coefficient of the squared term: Divide each side by '11'. 3.363636364 + -2.909090909a + a2 = 0 Move the constant term to the right: Add '-3.363636364' to each side of the equation. 3.363636364 + -2.909090909a + -3.363636364 + a2 = 0 + -3.363636364 Reorder the terms: 3.363636364 + -3.363636364 + -2.909090909a + a2 = 0 + -3.363636364 Combine like terms: 3.363636364 + -3.363636364 = 0.000000000 0.000000000 + -2.909090909a + a2 = 0 + -3.363636364 -2.909090909a + a2 = 0 + -3.363636364 Combine like terms: 0 + -3.363636364 = -3.363636364 -2.909090909a + a2 = -3.363636364 The a term is -2.909090909a. Take half its coefficient (-1.454545455). Square it (2.115702481) and add it to both sides. Add '2.115702481' to each side of the equation. -2.909090909a + 2.115702481 + a2 = -3.363636364 + 2.115702481 Reorder the terms: 2.115702481 + -2.909090909a + a2 = -3.363636364 + 2.115702481 Combine like terms: -3.363636364 + 2.115702481 = -1.247933883 2.115702481 + -2.909090909a + a2 = -1.247933883 Factor a perfect square on the left side: (a + -1.454545455)(a + -1.454545455) = -1.247933883 Can't calculate square root of the right side. The solution to this equation could not be determined.
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