7x^2-100x+645=0

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Solution for 7x^2-100x+645=0 equation:


Simplifying
7x2 + -100x + 645 = 0

Reorder the terms:
645 + -100x + 7x2 = 0

Solving
645 + -100x + 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'.
92.14285714 + -14.28571429x + x2 = 0

Move the constant term to the right:

Add '-92.14285714' to each side of the equation.
92.14285714 + -14.28571429x + -92.14285714 + x2 = 0 + -92.14285714

Reorder the terms:
92.14285714 + -92.14285714 + -14.28571429x + x2 = 0 + -92.14285714

Combine like terms: 92.14285714 + -92.14285714 = 0.00000000
0.00000000 + -14.28571429x + x2 = 0 + -92.14285714
-14.28571429x + x2 = 0 + -92.14285714

Combine like terms: 0 + -92.14285714 = -92.14285714
-14.28571429x + x2 = -92.14285714

The x term is -14.28571429x.  Take half its coefficient (-7.142857145).
Square it (51.02040819) and add it to both sides.

Add '51.02040819' to each side of the equation.
-14.28571429x + 51.02040819 + x2 = -92.14285714 + 51.02040819

Reorder the terms:
51.02040819 + -14.28571429x + x2 = -92.14285714 + 51.02040819

Combine like terms: -92.14285714 + 51.02040819 = -41.12244895
51.02040819 + -14.28571429x + x2 = -41.12244895

Factor a perfect square on the left side:
(x + -7.142857145)(x + -7.142857145) = -41.12244895

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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