x^2-28x+252=0

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Solution for x^2-28x+252=0 equation:


Simplifying
x2 + -28x + 252 = 0

Reorder the terms:
252 + -28x + x2 = 0

Solving
252 + -28x + 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 + -28x + -252 + x2 = 0 + -252

Reorder the terms:
252 + -252 + -28x + x2 = 0 + -252

Combine like terms: 252 + -252 = 0
0 + -28x + x2 = 0 + -252
-28x + x2 = 0 + -252

Combine like terms: 0 + -252 = -252
-28x + x2 = -252

The x term is -28x.  Take half its coefficient (-14).
Square it (196) and add it to both sides.

Add '196' to each side of the equation.
-28x + 196 + x2 = -252 + 196

Reorder the terms:
196 + -28x + x2 = -252 + 196

Combine like terms: -252 + 196 = -56
196 + -28x + x2 = -56

Factor a perfect square on the left side:
(x + -14)(x + -14) = -56

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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