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Simplifying (6x2 + -2x + 8) + (5x2 + 6x + -4) = 0 Reorder the terms: (8 + -2x + 6x2) + (5x2 + 6x + -4) = 0 Remove parenthesis around (8 + -2x + 6x2) 8 + -2x + 6x2 + (5x2 + 6x + -4) = 0 Reorder the terms: 8 + -2x + 6x2 + (-4 + 6x + 5x2) = 0 Remove parenthesis around (-4 + 6x + 5x2) 8 + -2x + 6x2 + -4 + 6x + 5x2 = 0 Reorder the terms: 8 + -4 + -2x + 6x + 6x2 + 5x2 = 0 Combine like terms: 8 + -4 = 4 4 + -2x + 6x + 6x2 + 5x2 = 0 Combine like terms: -2x + 6x = 4x 4 + 4x + 6x2 + 5x2 = 0 Combine like terms: 6x2 + 5x2 = 11x2 4 + 4x + 11x2 = 0 Solving 4 + 4x + 11x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 11 the coefficient of the squared term: Divide each side by '11'. 0.3636363636 + 0.3636363636x + x2 = 0 Move the constant term to the right: Add '-0.3636363636' to each side of the equation. 0.3636363636 + 0.3636363636x + -0.3636363636 + x2 = 0 + -0.3636363636 Reorder the terms: 0.3636363636 + -0.3636363636 + 0.3636363636x + x2 = 0 + -0.3636363636 Combine like terms: 0.3636363636 + -0.3636363636 = 0.0000000000 0.0000000000 + 0.3636363636x + x2 = 0 + -0.3636363636 0.3636363636x + x2 = 0 + -0.3636363636 Combine like terms: 0 + -0.3636363636 = -0.3636363636 0.3636363636x + x2 = -0.3636363636 The x term is 0.3636363636x. Take half its coefficient (0.1818181818). Square it (0.03305785123) and add it to both sides. Add '0.03305785123' to each side of the equation. 0.3636363636x + 0.03305785123 + x2 = -0.3636363636 + 0.03305785123 Reorder the terms: 0.03305785123 + 0.3636363636x + x2 = -0.3636363636 + 0.03305785123 Combine like terms: -0.3636363636 + 0.03305785123 = -0.33057851237 0.03305785123 + 0.3636363636x + x2 = -0.33057851237 Factor a perfect square on the left side: (x + 0.1818181818)(x + 0.1818181818) = -0.33057851237 Can't calculate square root of the right side. The solution to this equation could not be determined.
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