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Simplifying 18a2 + 10a + -11a + 4 = 0 Reorder the terms: 4 + 10a + -11a + 18a2 = 0 Combine like terms: 10a + -11a = -1a 4 + -1a + 18a2 = 0 Solving 4 + -1a + 18a2 = 0 Solving for variable 'a'. Begin completing the square. Divide all terms by 18 the coefficient of the squared term: Divide each side by '18'. 0.2222222222 + -0.05555555556a + a2 = 0 Move the constant term to the right: Add '-0.2222222222' to each side of the equation. 0.2222222222 + -0.05555555556a + -0.2222222222 + a2 = 0 + -0.2222222222 Reorder the terms: 0.2222222222 + -0.2222222222 + -0.05555555556a + a2 = 0 + -0.2222222222 Combine like terms: 0.2222222222 + -0.2222222222 = 0.0000000000 0.0000000000 + -0.05555555556a + a2 = 0 + -0.2222222222 -0.05555555556a + a2 = 0 + -0.2222222222 Combine like terms: 0 + -0.2222222222 = -0.2222222222 -0.05555555556a + a2 = -0.2222222222 The a term is -0.05555555556a. Take half its coefficient (-0.02777777778). Square it (0.0007716049384) and add it to both sides. Add '0.0007716049384' to each side of the equation. -0.05555555556a + 0.0007716049384 + a2 = -0.2222222222 + 0.0007716049384 Reorder the terms: 0.0007716049384 + -0.05555555556a + a2 = -0.2222222222 + 0.0007716049384 Combine like terms: -0.2222222222 + 0.0007716049384 = -0.2214506172616 0.0007716049384 + -0.05555555556a + a2 = -0.2214506172616 Factor a perfect square on the left side: (a + -0.02777777778)(a + -0.02777777778) = -0.2214506172616 Can't calculate square root of the right side. The solution to this equation could not be determined.
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