y^2-22y=-400

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Solution for y^2-22y=-400 equation:


Simplifying
y2 + -22y = -400

Reorder the terms:
-22y + y2 = -400

Solving
-22y + y2 = -400

Solving for variable 'y'.

Reorder the terms:
400 + -22y + y2 = -400 + 400

Combine like terms: -400 + 400 = 0
400 + -22y + y2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-400' to each side of the equation.
400 + -22y + -400 + y2 = 0 + -400

Reorder the terms:
400 + -400 + -22y + y2 = 0 + -400

Combine like terms: 400 + -400 = 0
0 + -22y + y2 = 0 + -400
-22y + y2 = 0 + -400

Combine like terms: 0 + -400 = -400
-22y + y2 = -400

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

Add '121' to each side of the equation.
-22y + 121 + y2 = -400 + 121

Reorder the terms:
121 + -22y + y2 = -400 + 121

Combine like terms: -400 + 121 = -279
121 + -22y + y2 = -279

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

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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