82x^2-5x+674=0

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Solution for 82x^2-5x+674=0 equation: 


Simplifying
82x2 + -5x + 674 = 0

Reorder the terms:
674 + -5x + 82x2 = 0

Solving
674 + -5x + 82x2 = 0

Solving for variable 'x'.

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

Divide each side by '82'.
8.219512195 + -0.06097560976x + x2 = 0

Move the constant term to the right:

Add '-8.219512195' to each side of the equation.
8.219512195 + -0.06097560976x + -8.219512195 + x2 = 0 + -8.219512195

Reorder the terms:
8.219512195 + -8.219512195 + -0.06097560976x + x2 = 0 + -8.219512195

Combine like terms: 8.219512195 + -8.219512195 = 0.000000000
0.000000000 + -0.06097560976x + x2 = 0 + -8.219512195
-0.06097560976x + x2 = 0 + -8.219512195

Combine like terms: 0 + -8.219512195 = -8.219512195
-0.06097560976x + x2 = -8.219512195

The x term is -0.06097560976x.  Take half its coefficient (-0.03048780488).
Square it (0.0009295062464) and add it to both sides.

Add '0.0009295062464' to each side of the equation.
-0.06097560976x + 0.0009295062464 + x2 = -8.219512195 + 0.0009295062464

Reorder the terms:
0.0009295062464 + -0.06097560976x + x2 = -8.219512195 + 0.0009295062464

Combine like terms: -8.219512195 + 0.0009295062464 = -8.2185826887536
0.0009295062464 + -0.06097560976x + x2 = -8.2185826887536

Factor a perfect square on the left side:
(x + -0.03048780488)(x + -0.03048780488) = -8.2185826887536

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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