x^2-31x+252=0

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Solution for x^2-31x+252=0 equation: 


Simplifying
x2 + -31x + 252 = 0

Reorder the terms:
252 + -31x + x2 = 0

Solving
252 + -31x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-252' to each side of the equation.
252 + -31x + -252 + x2 = 0 + -252

Reorder the terms:
252 + -252 + -31x + x2 = 0 + -252

Combine like terms: 252 + -252 = 0
0 + -31x + x2 = 0 + -252
-31x + x2 = 0 + -252

Combine like terms: 0 + -252 = -252
-31x + x2 = -252

The x term is -31x.  Take half its coefficient (-15.5).
Square it (240.25) and add it to both sides.

Add '240.25' to each side of the equation.
-31x + 240.25 + x2 = -252 + 240.25

Reorder the terms:
240.25 + -31x + x2 = -252 + 240.25

Combine like terms: -252 + 240.25 = -11.75
240.25 + -31x + x2 = -11.75

Factor a perfect square on the left side:
(x + -15.5)(x + -15.5) = -11.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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