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Simplifying (3x2 + -5x + 7) + (4x2 + 9x + -1) = 0 Reorder the terms: (7 + -5x + 3x2) + (4x2 + 9x + -1) = 0 Remove parenthesis around (7 + -5x + 3x2) 7 + -5x + 3x2 + (4x2 + 9x + -1) = 0 Reorder the terms: 7 + -5x + 3x2 + (-1 + 9x + 4x2) = 0 Remove parenthesis around (-1 + 9x + 4x2) 7 + -5x + 3x2 + -1 + 9x + 4x2 = 0 Reorder the terms: 7 + -1 + -5x + 9x + 3x2 + 4x2 = 0 Combine like terms: 7 + -1 = 6 6 + -5x + 9x + 3x2 + 4x2 = 0 Combine like terms: -5x + 9x = 4x 6 + 4x + 3x2 + 4x2 = 0 Combine like terms: 3x2 + 4x2 = 7x2 6 + 4x + 7x2 = 0 Solving 6 + 4x + 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'. 0.8571428571 + 0.5714285714x + x2 = 0 Move the constant term to the right: Add '-0.8571428571' to each side of the equation. 0.8571428571 + 0.5714285714x + -0.8571428571 + x2 = 0 + -0.8571428571 Reorder the terms: 0.8571428571 + -0.8571428571 + 0.5714285714x + x2 = 0 + -0.8571428571 Combine like terms: 0.8571428571 + -0.8571428571 = 0.0000000000 0.0000000000 + 0.5714285714x + x2 = 0 + -0.8571428571 0.5714285714x + x2 = 0 + -0.8571428571 Combine like terms: 0 + -0.8571428571 = -0.8571428571 0.5714285714x + x2 = -0.8571428571 The x term is 0.5714285714x. Take half its coefficient (0.2857142857). Square it (0.08163265305) and add it to both sides. Add '0.08163265305' to each side of the equation. 0.5714285714x + 0.08163265305 + x2 = -0.8571428571 + 0.08163265305 Reorder the terms: 0.08163265305 + 0.5714285714x + x2 = -0.8571428571 + 0.08163265305 Combine like terms: -0.8571428571 + 0.08163265305 = -0.77551020405 0.08163265305 + 0.5714285714x + x2 = -0.77551020405 Factor a perfect square on the left side: (x + 0.2857142857)(x + 0.2857142857) = -0.77551020405 Can't calculate square root of the right side. The solution to this equation could not be determined.
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