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Simplifying 3a2 + 4a = 2a + -2a + -9 Reorder the terms: 4a + 3a2 = 2a + -2a + -9 Reorder the terms: 4a + 3a2 = -9 + 2a + -2a Combine like terms: 2a + -2a = 0 4a + 3a2 = -9 + 0 4a + 3a2 = -9 Solving 4a + 3a2 = -9 Solving for variable 'a'. Reorder the terms: 9 + 4a + 3a2 = -9 + 9 Combine like terms: -9 + 9 = 0 9 + 4a + 3a2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 3 + 1.333333333a + a2 = 0 Move the constant term to the right: Add '-3' to each side of the equation. 3 + 1.333333333a + -3 + a2 = 0 + -3 Reorder the terms: 3 + -3 + 1.333333333a + a2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 1.333333333a + a2 = 0 + -3 1.333333333a + a2 = 0 + -3 Combine like terms: 0 + -3 = -3 1.333333333a + a2 = -3 The a term is 1.333333333a. Take half its coefficient (0.6666666665). Square it (0.4444444442) and add it to both sides. Add '0.4444444442' to each side of the equation. 1.333333333a + 0.4444444442 + a2 = -3 + 0.4444444442 Reorder the terms: 0.4444444442 + 1.333333333a + a2 = -3 + 0.4444444442 Combine like terms: -3 + 0.4444444442 = -2.5555555558 0.4444444442 + 1.333333333a + a2 = -2.5555555558 Factor a perfect square on the left side: (a + 0.6666666665)(a + 0.6666666665) = -2.5555555558 Can't calculate square root of the right side. The solution to this equation could not be determined.
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