y^2+2y+56=0

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Solution for y^2+2y+56=0 equation:


Simplifying
y2 + 2y + 56 = 0

Reorder the terms:
56 + 2y + y2 = 0

Solving
56 + 2y + y2 = 0

Solving for variable 'y'.

Begin completing the square.

Move the constant term to the right:

Add '-56' to each side of the equation.
56 + 2y + -56 + y2 = 0 + -56

Reorder the terms:
56 + -56 + 2y + y2 = 0 + -56

Combine like terms: 56 + -56 = 0
0 + 2y + y2 = 0 + -56
2y + y2 = 0 + -56

Combine like terms: 0 + -56 = -56
2y + y2 = -56

The y term is 2y.  Take half its coefficient (1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
2y + 1 + y2 = -56 + 1

Reorder the terms:
1 + 2y + y2 = -56 + 1

Combine like terms: -56 + 1 = -55
1 + 2y + y2 = -55

Factor a perfect square on the left side:
(y + 1)(y + 1) = -55

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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