y^2+20y+352=0

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Solution for y^2+20y+352=0 equation:


Simplifying
y2 + 20y + 352 = 0

Reorder the terms:
352 + 20y + y2 = 0

Solving
352 + 20y + y2 = 0

Solving for variable 'y'.

Begin completing the square.

Move the constant term to the right:

Add '-352' to each side of the equation.
352 + 20y + -352 + y2 = 0 + -352

Reorder the terms:
352 + -352 + 20y + y2 = 0 + -352

Combine like terms: 352 + -352 = 0
0 + 20y + y2 = 0 + -352
20y + y2 = 0 + -352

Combine like terms: 0 + -352 = -352
20y + y2 = -352

The y term is 20y.  Take half its coefficient (10).
Square it (100) and add it to both sides.

Add '100' to each side of the equation.
20y + 100 + y2 = -352 + 100

Reorder the terms:
100 + 20y + y2 = -352 + 100

Combine like terms: -352 + 100 = -252
100 + 20y + y2 = -252

Factor a perfect square on the left side:
(y + 10)(y + 10) = -252

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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