91x^2-710x+31323=0

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Solution for 91x^2-710x+31323=0 equation:


Simplifying
91x2 + -710x + 31323 = 0

Reorder the terms:
31323 + -710x + 91x2 = 0

Solving
31323 + -710x + 91x2 = 0

Solving for variable 'x'.

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

Divide each side by '91'.
344.2087912 + -7.802197802x + x2 = 0

Move the constant term to the right:

Add '-344.2087912' to each side of the equation.
344.2087912 + -7.802197802x + -344.2087912 + x2 = 0 + -344.2087912

Reorder the terms:
344.2087912 + -344.2087912 + -7.802197802x + x2 = 0 + -344.2087912

Combine like terms: 344.2087912 + -344.2087912 = 0.0000000
0.0000000 + -7.802197802x + x2 = 0 + -344.2087912
-7.802197802x + x2 = 0 + -344.2087912

Combine like terms: 0 + -344.2087912 = -344.2087912
-7.802197802x + x2 = -344.2087912

The x term is -7.802197802x.  Take half its coefficient (-3.901098901).
Square it (15.21857264) and add it to both sides.

Add '15.21857264' to each side of the equation.
-7.802197802x + 15.21857264 + x2 = -344.2087912 + 15.21857264

Reorder the terms:
15.21857264 + -7.802197802x + x2 = -344.2087912 + 15.21857264

Combine like terms: -344.2087912 + 15.21857264 = -328.99021856
15.21857264 + -7.802197802x + x2 = -328.99021856

Factor a perfect square on the left side:
(x + -3.901098901)(x + -3.901098901) = -328.99021856

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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