17x^2-40x+25=0

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Solution for 17x^2-40x+25=0 equation:


Simplifying
17x2 + -40x + 25 = 0

Reorder the terms:
25 + -40x + 17x2 = 0

Solving
25 + -40x + 17x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
17 the coefficient of the squared term: 

Divide each side by '17'.
1.470588235 + -2.352941176x + x2 = 0

Move the constant term to the right:

Add '-1.470588235' to each side of the equation.
1.470588235 + -2.352941176x + -1.470588235 + x2 = 0 + -1.470588235

Reorder the terms:
1.470588235 + -1.470588235 + -2.352941176x + x2 = 0 + -1.470588235

Combine like terms: 1.470588235 + -1.470588235 = 0.000000000
0.000000000 + -2.352941176x + x2 = 0 + -1.470588235
-2.352941176x + x2 = 0 + -1.470588235

Combine like terms: 0 + -1.470588235 = -1.470588235
-2.352941176x + x2 = -1.470588235

The x term is -2.352941176x.  Take half its coefficient (-1.176470588).
Square it (1.384083044) and add it to both sides.

Add '1.384083044' to each side of the equation.
-2.352941176x + 1.384083044 + x2 = -1.470588235 + 1.384083044

Reorder the terms:
1.384083044 + -2.352941176x + x2 = -1.470588235 + 1.384083044

Combine like terms: -1.470588235 + 1.384083044 = -0.086505191
1.384083044 + -2.352941176x + x2 = -0.086505191

Factor a perfect square on the left side:
(x + -1.176470588)(x + -1.176470588) = -0.086505191

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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