y^2+5y+44=0

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Solution for y^2+5y+44=0 equation:


Simplifying
y2 + 5y + 44 = 0

Reorder the terms:
44 + 5y + y2 = 0

Solving
44 + 5y + 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 + 5y + -44 + y2 = 0 + -44

Reorder the terms:
44 + -44 + 5y + y2 = 0 + -44

Combine like terms: 44 + -44 = 0
0 + 5y + y2 = 0 + -44
5y + y2 = 0 + -44

Combine like terms: 0 + -44 = -44
5y + y2 = -44

The y term is 5y.  Take half its coefficient (2.5).
Square it (6.25) and add it to both sides.

Add '6.25' to each side of the equation.
5y + 6.25 + y2 = -44 + 6.25

Reorder the terms:
6.25 + 5y + y2 = -44 + 6.25

Combine like terms: -44 + 6.25 = -37.75
6.25 + 5y + y2 = -37.75

Factor a perfect square on the left side:
(y + 2.5)(y + 2.5) = -37.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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