2x^2-67x+730=0

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Solution for 2x^2-67x+730=0 equation:


Simplifying
2x2 + -67x + 730 = 0

Reorder the terms:
730 + -67x + 2x2 = 0

Solving
730 + -67x + 2x2 = 0

Solving for variable 'x'.

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

Divide each side by '2'.
365 + -33.5x + x2 = 0

Move the constant term to the right:

Add '-365' to each side of the equation.
365 + -33.5x + -365 + x2 = 0 + -365

Reorder the terms:
365 + -365 + -33.5x + x2 = 0 + -365

Combine like terms: 365 + -365 = 0
0 + -33.5x + x2 = 0 + -365
-33.5x + x2 = 0 + -365

Combine like terms: 0 + -365 = -365
-33.5x + x2 = -365

The x term is -33.5x.  Take half its coefficient (-16.75).
Square it (280.5625) and add it to both sides.

Add '280.5625' to each side of the equation.
-33.5x + 280.5625 + x2 = -365 + 280.5625

Reorder the terms:
280.5625 + -33.5x + x2 = -365 + 280.5625

Combine like terms: -365 + 280.5625 = -84.4375
280.5625 + -33.5x + x2 = -84.4375

Factor a perfect square on the left side:
(x + -16.75)(x + -16.75) = -84.4375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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