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Simplifying (3x2 + 5x + 2) + (4x2 + 3x + 2) = 0 Reorder the terms: (2 + 5x + 3x2) + (4x2 + 3x + 2) = 0 Remove parenthesis around (2 + 5x + 3x2) 2 + 5x + 3x2 + (4x2 + 3x + 2) = 0 Reorder the terms: 2 + 5x + 3x2 + (2 + 3x + 4x2) = 0 Remove parenthesis around (2 + 3x + 4x2) 2 + 5x + 3x2 + 2 + 3x + 4x2 = 0 Reorder the terms: 2 + 2 + 5x + 3x + 3x2 + 4x2 = 0 Combine like terms: 2 + 2 = 4 4 + 5x + 3x + 3x2 + 4x2 = 0 Combine like terms: 5x + 3x = 8x 4 + 8x + 3x2 + 4x2 = 0 Combine like terms: 3x2 + 4x2 = 7x2 4 + 8x + 7x2 = 0 Solving 4 + 8x + 7x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 0.5714285714 + 1.142857143x + x2 = 0 Move the constant term to the right: Add '-0.5714285714' to each side of the equation. 0.5714285714 + 1.142857143x + -0.5714285714 + x2 = 0 + -0.5714285714 Reorder the terms: 0.5714285714 + -0.5714285714 + 1.142857143x + x2 = 0 + -0.5714285714 Combine like terms: 0.5714285714 + -0.5714285714 = 0.0000000000 0.0000000000 + 1.142857143x + x2 = 0 + -0.5714285714 1.142857143x + x2 = 0 + -0.5714285714 Combine like terms: 0 + -0.5714285714 = -0.5714285714 1.142857143x + x2 = -0.5714285714 The x term is 1.142857143x. Take half its coefficient (0.5714285715). Square it (0.3265306123) and add it to both sides. Add '0.3265306123' to each side of the equation. 1.142857143x + 0.3265306123 + x2 = -0.5714285714 + 0.3265306123 Reorder the terms: 0.3265306123 + 1.142857143x + x2 = -0.5714285714 + 0.3265306123 Combine like terms: -0.5714285714 + 0.3265306123 = -0.2448979591 0.3265306123 + 1.142857143x + x2 = -0.2448979591 Factor a perfect square on the left side: (x + 0.5714285715)(x + 0.5714285715) = -0.2448979591 Can't calculate square root of the right side. The solution to this equation could not be determined.
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