x^2-22x+400=0

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Solution for x^2-22x+400=0 equation:


Simplifying
x2 + -22x + 400 = 0

Reorder the terms:
400 + -22x + x2 = 0

Solving
400 + -22x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-400' to each side of the equation.
400 + -22x + -400 + x2 = 0 + -400

Reorder the terms:
400 + -400 + -22x + x2 = 0 + -400

Combine like terms: 400 + -400 = 0
0 + -22x + x2 = 0 + -400
-22x + x2 = 0 + -400

Combine like terms: 0 + -400 = -400
-22x + x2 = -400

The x term is -22x.  Take half its coefficient (-11).
Square it (121) and add it to both sides.

Add '121' to each side of the equation.
-22x + 121 + x2 = -400 + 121

Reorder the terms:
121 + -22x + x2 = -400 + 121

Combine like terms: -400 + 121 = -279
121 + -22x + x2 = -279

Factor a perfect square on the left side:
(x + -11)(x + -11) = -279

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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