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Simplifying 4a2 + -11a = -11 Reorder the terms: -11a + 4a2 = -11 Solving -11a + 4a2 = -11 Solving for variable 'a'. Reorder the terms: 11 + -11a + 4a2 = -11 + 11 Combine like terms: -11 + 11 = 0 11 + -11a + 4a2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 2.75 + -2.75a + a2 = 0 Move the constant term to the right: Add '-2.75' to each side of the equation. 2.75 + -2.75a + -2.75 + a2 = 0 + -2.75 Reorder the terms: 2.75 + -2.75 + -2.75a + a2 = 0 + -2.75 Combine like terms: 2.75 + -2.75 = 0.00 0.00 + -2.75a + a2 = 0 + -2.75 -2.75a + a2 = 0 + -2.75 Combine like terms: 0 + -2.75 = -2.75 -2.75a + a2 = -2.75 The a term is -2.75a. Take half its coefficient (-1.375). Square it (1.890625) and add it to both sides. Add '1.890625' to each side of the equation. -2.75a + 1.890625 + a2 = -2.75 + 1.890625 Reorder the terms: 1.890625 + -2.75a + a2 = -2.75 + 1.890625 Combine like terms: -2.75 + 1.890625 = -0.859375 1.890625 + -2.75a + a2 = -0.859375 Factor a perfect square on the left side: (a + -1.375)(a + -1.375) = -0.859375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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