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Simplifying 7x2 + -3x = 5x + -9 Reorder the terms: -3x + 7x2 = 5x + -9 Reorder the terms: -3x + 7x2 = -9 + 5x Solving -3x + 7x2 = -9 + 5x Solving for variable 'x'. Reorder the terms: 9 + -3x + -5x + 7x2 = -9 + 5x + 9 + -5x Combine like terms: -3x + -5x = -8x 9 + -8x + 7x2 = -9 + 5x + 9 + -5x Reorder the terms: 9 + -8x + 7x2 = -9 + 9 + 5x + -5x Combine like terms: -9 + 9 = 0 9 + -8x + 7x2 = 0 + 5x + -5x 9 + -8x + 7x2 = 5x + -5x Combine like terms: 5x + -5x = 0 9 + -8x + 7x2 = 0 Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 1.285714286 + -1.142857143x + x2 = 0 Move the constant term to the right: Add '-1.285714286' to each side of the equation. 1.285714286 + -1.142857143x + -1.285714286 + x2 = 0 + -1.285714286 Reorder the terms: 1.285714286 + -1.285714286 + -1.142857143x + x2 = 0 + -1.285714286 Combine like terms: 1.285714286 + -1.285714286 = 0.000000000 0.000000000 + -1.142857143x + x2 = 0 + -1.285714286 -1.142857143x + x2 = 0 + -1.285714286 Combine like terms: 0 + -1.285714286 = -1.285714286 -1.142857143x + x2 = -1.285714286 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 = -1.285714286 + 0.3265306123 Reorder the terms: 0.3265306123 + -1.142857143x + x2 = -1.285714286 + 0.3265306123 Combine like terms: -1.285714286 + 0.3265306123 = -0.9591836737 0.3265306123 + -1.142857143x + x2 = -0.9591836737 Factor a perfect square on the left side: (x + -0.5714285715)(x + -0.5714285715) = -0.9591836737 Can't calculate square root of the right side. The solution to this equation could not be determined.
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