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Simplifying 7a2 + -5a + 3a2 + 2a + -3 + 9a + 4 = 0 Reorder the terms: -3 + 4 + -5a + 2a + 9a + 7a2 + 3a2 = 0 Combine like terms: -3 + 4 = 1 1 + -5a + 2a + 9a + 7a2 + 3a2 = 0 Combine like terms: -5a + 2a = -3a 1 + -3a + 9a + 7a2 + 3a2 = 0 Combine like terms: -3a + 9a = 6a 1 + 6a + 7a2 + 3a2 = 0 Combine like terms: 7a2 + 3a2 = 10a2 1 + 6a + 10a2 = 0 Solving 1 + 6a + 10a2 = 0 Solving for variable 'a'. Begin completing the square. Divide all terms by 10 the coefficient of the squared term: Divide each side by '10'. 0.1 + 0.6a + a2 = 0.0 Move the constant term to the right: Add '-0.1' to each side of the equation. 0.1 + 0.6a + -0.1 + a2 = 0.0 + -0.1 Reorder the terms: 0.1 + -0.1 + 0.6a + a2 = 0.0 + -0.1 Combine like terms: 0.1 + -0.1 = 0.0 0.0 + 0.6a + a2 = 0.0 + -0.1 0.6a + a2 = 0.0 + -0.1 Combine like terms: 0.0 + -0.1 = -0.1 0.6a + a2 = -0.1 The a term is 0.6a. Take half its coefficient (0.3). Square it (0.09) and add it to both sides. Add '0.09' to each side of the equation. 0.6a + 0.09 + a2 = -0.1 + 0.09 Reorder the terms: 0.09 + 0.6a + a2 = -0.1 + 0.09 Combine like terms: -0.1 + 0.09 = -0.01 0.09 + 0.6a + a2 = -0.01 Factor a perfect square on the left side: (a + 0.3)(a + 0.3) = -0.01 Can't calculate square root of the right side. The solution to this equation could not be determined.
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