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Simplifying 18a2 + 10 = -11a + 4 Reorder the terms: 10 + 18a2 = -11a + 4 Reorder the terms: 10 + 18a2 = 4 + -11a Solving 10 + 18a2 = 4 + -11a Solving for variable 'a'. Reorder the terms: 10 + -4 + 11a + 18a2 = 4 + -11a + -4 + 11a Combine like terms: 10 + -4 = 6 6 + 11a + 18a2 = 4 + -11a + -4 + 11a Reorder the terms: 6 + 11a + 18a2 = 4 + -4 + -11a + 11a Combine like terms: 4 + -4 = 0 6 + 11a + 18a2 = 0 + -11a + 11a 6 + 11a + 18a2 = -11a + 11a Combine like terms: -11a + 11a = 0 6 + 11a + 18a2 = 0 Begin completing the square. Divide all terms by 18 the coefficient of the squared term: Divide each side by '18'. 0.3333333333 + 0.6111111111a + a2 = 0 Move the constant term to the right: Add '-0.3333333333' to each side of the equation. 0.3333333333 + 0.6111111111a + -0.3333333333 + a2 = 0 + -0.3333333333 Reorder the terms: 0.3333333333 + -0.3333333333 + 0.6111111111a + a2 = 0 + -0.3333333333 Combine like terms: 0.3333333333 + -0.3333333333 = 0.0000000000 0.0000000000 + 0.6111111111a + a2 = 0 + -0.3333333333 0.6111111111a + a2 = 0 + -0.3333333333 Combine like terms: 0 + -0.3333333333 = -0.3333333333 0.6111111111a + a2 = -0.3333333333 The a term is 0.6111111111a. Take half its coefficient (0.3055555556). Square it (0.09336419756) and add it to both sides. Add '0.09336419756' to each side of the equation. 0.6111111111a + 0.09336419756 + a2 = -0.3333333333 + 0.09336419756 Reorder the terms: 0.09336419756 + 0.6111111111a + a2 = -0.3333333333 + 0.09336419756 Combine like terms: -0.3333333333 + 0.09336419756 = -0.23996913574 0.09336419756 + 0.6111111111a + a2 = -0.23996913574 Factor a perfect square on the left side: (a + 0.3055555556)(a + 0.3055555556) = -0.23996913574 Can't calculate square root of the right side. The solution to this equation could not be determined.
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