y^2+22y+217=

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Solution for y^2+22y+217= equation:


Simplifying
y2 + 22y + 217 = 0

Reorder the terms:
217 + 22y + y2 = 0

Solving
217 + 22y + y2 = 0

Solving for variable 'y'.

Begin completing the square.

Move the constant term to the right:

Add '-217' to each side of the equation.
217 + 22y + -217 + y2 = 0 + -217

Reorder the terms:
217 + -217 + 22y + y2 = 0 + -217

Combine like terms: 217 + -217 = 0
0 + 22y + y2 = 0 + -217
22y + y2 = 0 + -217

Combine like terms: 0 + -217 = -217
22y + y2 = -217

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 = -217 + 121

Reorder the terms:
121 + 22y + y2 = -217 + 121

Combine like terms: -217 + 121 = -96
121 + 22y + y2 = -96

Factor a perfect square on the left side:
(y + 11)(y + 11) = -96

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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