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Simplifying 7a2 + -8a + 25 = 0 Reorder the terms: 25 + -8a + 7a2 = 0 Solving 25 + -8a + 7a2 = 0 Solving for variable 'a'. Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 3.571428571 + -1.142857143a + a2 = 0 Move the constant term to the right: Add '-3.571428571' to each side of the equation. 3.571428571 + -1.142857143a + -3.571428571 + a2 = 0 + -3.571428571 Reorder the terms: 3.571428571 + -3.571428571 + -1.142857143a + a2 = 0 + -3.571428571 Combine like terms: 3.571428571 + -3.571428571 = 0.000000000 0.000000000 + -1.142857143a + a2 = 0 + -3.571428571 -1.142857143a + a2 = 0 + -3.571428571 Combine like terms: 0 + -3.571428571 = -3.571428571 -1.142857143a + a2 = -3.571428571 The a term is -1.142857143a. 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. -1.142857143a + 0.3265306123 + a2 = -3.571428571 + 0.3265306123 Reorder the terms: 0.3265306123 + -1.142857143a + a2 = -3.571428571 + 0.3265306123 Combine like terms: -3.571428571 + 0.3265306123 = -3.2448979587 0.3265306123 + -1.142857143a + a2 = -3.2448979587 Factor a perfect square on the left side: (a + -0.5714285715)(a + -0.5714285715) = -3.2448979587 Can't calculate square root of the right side. The solution to this equation could not be determined.
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