y^2+12y+80=0

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Solution for y^2+12y+80=0 equation:


Simplifying
y2 + 12y + 80 = 0

Reorder the terms:
80 + 12y + y2 = 0

Solving
80 + 12y + y2 = 0

Solving for variable 'y'.

Begin completing the square.

Move the constant term to the right:

Add '-80' to each side of the equation.
80 + 12y + -80 + y2 = 0 + -80

Reorder the terms:
80 + -80 + 12y + y2 = 0 + -80

Combine like terms: 80 + -80 = 0
0 + 12y + y2 = 0 + -80
12y + y2 = 0 + -80

Combine like terms: 0 + -80 = -80
12y + y2 = -80

The y term is 12y.  Take half its coefficient (6).
Square it (36) and add it to both sides.

Add '36' to each side of the equation.
12y + 36 + y2 = -80 + 36

Reorder the terms:
36 + 12y + y2 = -80 + 36

Combine like terms: -80 + 36 = -44
36 + 12y + y2 = -44

Factor a perfect square on the left side:
(y + 6)(y + 6) = -44

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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