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Simplifying 14a2 + 19 + 16 + -9a + 8a2 + -12a2 = 0 Reorder the terms: 19 + 16 + -9a + 14a2 + 8a2 + -12a2 = 0 Combine like terms: 19 + 16 = 35 35 + -9a + 14a2 + 8a2 + -12a2 = 0 Combine like terms: 14a2 + 8a2 = 22a2 35 + -9a + 22a2 + -12a2 = 0 Combine like terms: 22a2 + -12a2 = 10a2 35 + -9a + 10a2 = 0 Solving 35 + -9a + 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'. 3.5 + -0.9a + a2 = 0.0 Move the constant term to the right: Add '-3.5' to each side of the equation. 3.5 + -0.9a + -3.5 + a2 = 0.0 + -3.5 Reorder the terms: 3.5 + -3.5 + -0.9a + a2 = 0.0 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + -0.9a + a2 = 0.0 + -3.5 -0.9a + a2 = 0.0 + -3.5 Combine like terms: 0.0 + -3.5 = -3.5 -0.9a + a2 = -3.5 The a term is -0.9a. Take half its coefficient (-0.45). Square it (0.2025) and add it to both sides. Add '0.2025' to each side of the equation. -0.9a + 0.2025 + a2 = -3.5 + 0.2025 Reorder the terms: 0.2025 + -0.9a + a2 = -3.5 + 0.2025 Combine like terms: -3.5 + 0.2025 = -3.2975 0.2025 + -0.9a + a2 = -3.2975 Factor a perfect square on the left side: (a + -0.45)(a + -0.45) = -3.2975 Can't calculate square root of the right side. The solution to this equation could not be determined.
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