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Simplifying 18a2 + 10a = -11 + 4 Reorder the terms: 10a + 18a2 = -11 + 4 Combine like terms: -11 + 4 = -7 10a + 18a2 = -7 Solving 10a + 18a2 = -7 Solving for variable 'a'. Reorder the terms: 7 + 10a + 18a2 = -7 + 7 Combine like terms: -7 + 7 = 0 7 + 10a + 18a2 = 0 Begin completing the square. Divide all terms by 18 the coefficient of the squared term: Divide each side by '18'. 0.3888888889 + 0.5555555556a + a2 = 0 Move the constant term to the right: Add '-0.3888888889' to each side of the equation. 0.3888888889 + 0.5555555556a + -0.3888888889 + a2 = 0 + -0.3888888889 Reorder the terms: 0.3888888889 + -0.3888888889 + 0.5555555556a + a2 = 0 + -0.3888888889 Combine like terms: 0.3888888889 + -0.3888888889 = 0.0000000000 0.0000000000 + 0.5555555556a + a2 = 0 + -0.3888888889 0.5555555556a + a2 = 0 + -0.3888888889 Combine like terms: 0 + -0.3888888889 = -0.3888888889 0.5555555556a + a2 = -0.3888888889 The a term is 0.5555555556a. Take half its coefficient (0.2777777778). Square it (0.07716049384) and add it to both sides. Add '0.07716049384' to each side of the equation. 0.5555555556a + 0.07716049384 + a2 = -0.3888888889 + 0.07716049384 Reorder the terms: 0.07716049384 + 0.5555555556a + a2 = -0.3888888889 + 0.07716049384 Combine like terms: -0.3888888889 + 0.07716049384 = -0.31172839506 0.07716049384 + 0.5555555556a + a2 = -0.31172839506 Factor a perfect square on the left side: (a + 0.2777777778)(a + 0.2777777778) = -0.31172839506 Can't calculate square root of the right side. The solution to this equation could not be determined.
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