7x^2-8x+25=0

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Solution for 7x^2-8x+25=0 equation:


Simplifying
7x2 + -8x + 25 = 0

Reorder the terms:
25 + -8x + 7x2 = 0

Solving
25 + -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'.
3.571428571 + -1.142857143x + x2 = 0

Move the constant term to the right:

Add '-3.571428571' to each side of the equation.
3.571428571 + -1.142857143x + -3.571428571 + x2 = 0 + -3.571428571

Reorder the terms:
3.571428571 + -3.571428571 + -1.142857143x + x2 = 0 + -3.571428571

Combine like terms: 3.571428571 + -3.571428571 = 0.000000000
0.000000000 + -1.142857143x + x2 = 0 + -3.571428571
-1.142857143x + x2 = 0 + -3.571428571

Combine like terms: 0 + -3.571428571 = -3.571428571
-1.142857143x + x2 = -3.571428571

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 = -3.571428571 + 0.3265306123

Reorder the terms:
0.3265306123 + -1.142857143x + x2 = -3.571428571 + 0.3265306123

Combine like terms: -3.571428571 + 0.3265306123 = -3.2448979587
0.3265306123 + -1.142857143x + x2 = -3.2448979587

Factor a perfect square on the left side:
(x + -0.5714285715)(x + -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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