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Simplifying a2 = 11a + -81 Reorder the terms: a2 = -81 + 11a Solving a2 = -81 + 11a Solving for variable 'a'. Reorder the terms: 81 + -11a + a2 = -81 + 11a + 81 + -11a Reorder the terms: 81 + -11a + a2 = -81 + 81 + 11a + -11a Combine like terms: -81 + 81 = 0 81 + -11a + a2 = 0 + 11a + -11a 81 + -11a + a2 = 11a + -11a Combine like terms: 11a + -11a = 0 81 + -11a + a2 = 0 Begin completing the square. Move the constant term to the right: Add '-81' to each side of the equation. 81 + -11a + -81 + a2 = 0 + -81 Reorder the terms: 81 + -81 + -11a + a2 = 0 + -81 Combine like terms: 81 + -81 = 0 0 + -11a + a2 = 0 + -81 -11a + a2 = 0 + -81 Combine like terms: 0 + -81 = -81 -11a + a2 = -81 The a term is -11a. Take half its coefficient (-5.5). Square it (30.25) and add it to both sides. Add '30.25' to each side of the equation. -11a + 30.25 + a2 = -81 + 30.25 Reorder the terms: 30.25 + -11a + a2 = -81 + 30.25 Combine like terms: -81 + 30.25 = -50.75 30.25 + -11a + a2 = -50.75 Factor a perfect square on the left side: (a + -5.5)(a + -5.5) = -50.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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