2x^2-20x+325=0

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Solution for 2x^2-20x+325=0 equation:


Simplifying
2x2 + -20x + 325 = 0

Reorder the terms:
325 + -20x + 2x2 = 0

Solving
325 + -20x + 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'.
162.5 + -10x + x2 = 0

Move the constant term to the right:

Add '-162.5' to each side of the equation.
162.5 + -10x + -162.5 + x2 = 0 + -162.5

Reorder the terms:
162.5 + -162.5 + -10x + x2 = 0 + -162.5

Combine like terms: 162.5 + -162.5 = 0.0
0.0 + -10x + x2 = 0 + -162.5
-10x + x2 = 0 + -162.5

Combine like terms: 0 + -162.5 = -162.5
-10x + x2 = -162.5

The x term is -10x.  Take half its coefficient (-5).
Square it (25) and add it to both sides.

Add '25' to each side of the equation.
-10x + 25 + x2 = -162.5 + 25

Reorder the terms:
25 + -10x + x2 = -162.5 + 25

Combine like terms: -162.5 + 25 = -137.5
25 + -10x + x2 = -137.5

Factor a perfect square on the left side:
(x + -5)(x + -5) = -137.5

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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