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Simplifying 9a2 + 5 = 11a Reorder the terms: 5 + 9a2 = 11a Solving 5 + 9a2 = 11a Solving for variable 'a'. Reorder the terms: 5 + -11a + 9a2 = 11a + -11a Combine like terms: 11a + -11a = 0 5 + -11a + 9a2 = 0 Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 0.5555555556 + -1.222222222a + a2 = 0 Move the constant term to the right: Add '-0.5555555556' to each side of the equation. 0.5555555556 + -1.222222222a + -0.5555555556 + a2 = 0 + -0.5555555556 Reorder the terms: 0.5555555556 + -0.5555555556 + -1.222222222a + a2 = 0 + -0.5555555556 Combine like terms: 0.5555555556 + -0.5555555556 = 0.0000000000 0.0000000000 + -1.222222222a + a2 = 0 + -0.5555555556 -1.222222222a + a2 = 0 + -0.5555555556 Combine like terms: 0 + -0.5555555556 = -0.5555555556 -1.222222222a + a2 = -0.5555555556 The a term is -1.222222222a. Take half its coefficient (-0.611111111). Square it (0.3734567900) and add it to both sides. Add '0.3734567900' to each side of the equation. -1.222222222a + 0.3734567900 + a2 = -0.5555555556 + 0.3734567900 Reorder the terms: 0.3734567900 + -1.222222222a + a2 = -0.5555555556 + 0.3734567900 Combine like terms: -0.5555555556 + 0.3734567900 = -0.1820987656 0.3734567900 + -1.222222222a + a2 = -0.1820987656 Factor a perfect square on the left side: (a + -0.611111111)(a + -0.611111111) = -0.1820987656 Can't calculate square root of the right side. The solution to this equation could not be determined.
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