y^2+13y+44=0

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Solution for y^2+13y+44=0 equation:


Simplifying
y2 + 13y + 44 = 0

Reorder the terms:
44 + 13y + y2 = 0

Solving
44 + 13y + y2 = 0

Solving for variable 'y'.

Begin completing the square.

Move the constant term to the right:

Add '-44' to each side of the equation.
44 + 13y + -44 + y2 = 0 + -44

Reorder the terms:
44 + -44 + 13y + y2 = 0 + -44

Combine like terms: 44 + -44 = 0
0 + 13y + y2 = 0 + -44
13y + y2 = 0 + -44

Combine like terms: 0 + -44 = -44
13y + y2 = -44

The y term is 13y.  Take half its coefficient (6.5).
Square it (42.25) and add it to both sides.

Add '42.25' to each side of the equation.
13y + 42.25 + y2 = -44 + 42.25

Reorder the terms:
42.25 + 13y + y2 = -44 + 42.25

Combine like terms: -44 + 42.25 = -1.75
42.25 + 13y + y2 = -1.75

Factor a perfect square on the left side:
(y + 6.5)(y + 6.5) = -1.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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