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Simplifying -7x2 = -8x + 14 Reorder the terms: -7x2 = 14 + -8x Solving -7x2 = 14 + -8x Solving for variable 'x'. Reorder the terms: -14 + 8x + -7x2 = 14 + -8x + -14 + 8x Reorder the terms: -14 + 8x + -7x2 = 14 + -14 + -8x + 8x Combine like terms: 14 + -14 = 0 -14 + 8x + -7x2 = 0 + -8x + 8x -14 + 8x + -7x2 = -8x + 8x Combine like terms: -8x + 8x = 0 -14 + 8x + -7x2 = 0 Begin completing the square. Divide all terms by -7 the coefficient of the squared term: Divide each side by '-7'. 2 + -1.142857143x + x2 = 0 Move the constant term to the right: Add '-2' to each side of the equation. 2 + -1.142857143x + -2 + x2 = 0 + -2 Reorder the terms: 2 + -2 + -1.142857143x + x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1.142857143x + x2 = 0 + -2 -1.142857143x + x2 = 0 + -2 Combine like terms: 0 + -2 = -2 -1.142857143x + x2 = -2 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 = -2 + 0.3265306123 Reorder the terms: 0.3265306123 + -1.142857143x + x2 = -2 + 0.3265306123 Combine like terms: -2 + 0.3265306123 = -1.6734693877 0.3265306123 + -1.142857143x + x2 = -1.6734693877 Factor a perfect square on the left side: (x + -0.5714285715)(x + -0.5714285715) = -1.6734693877 Can't calculate square root of the right side. The solution to this equation could not be determined.
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