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Simplifying -7x2 + 8x + -6 = 0 Reorder the terms: -6 + 8x + -7x2 = 0 Solving -6 + 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'. 0.8571428571 + -1.142857143x + x2 = 0 Move the constant term to the right: Add '-0.8571428571' to each side of the equation. 0.8571428571 + -1.142857143x + -0.8571428571 + x2 = 0 + -0.8571428571 Reorder the terms: 0.8571428571 + -0.8571428571 + -1.142857143x + x2 = 0 + -0.8571428571 Combine like terms: 0.8571428571 + -0.8571428571 = 0.0000000000 0.0000000000 + -1.142857143x + x2 = 0 + -0.8571428571 -1.142857143x + x2 = 0 + -0.8571428571 Combine like terms: 0 + -0.8571428571 = -0.8571428571 -1.142857143x + x2 = -0.8571428571 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 = -0.8571428571 + 0.3265306123 Reorder the terms: 0.3265306123 + -1.142857143x + x2 = -0.8571428571 + 0.3265306123 Combine like terms: -0.8571428571 + 0.3265306123 = -0.5306122448 0.3265306123 + -1.142857143x + x2 = -0.5306122448 Factor a perfect square on the left side: (x + -0.5714285715)(x + -0.5714285715) = -0.5306122448 Can't calculate square root of the right side. The solution to this equation could not be determined.
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