y^2+9y+36=0

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Solution for y^2+9y+36=0 equation:


Simplifying
y2 + 9y + 36 = 0

Reorder the terms:
36 + 9y + y2 = 0

Solving
36 + 9y + y2 = 0

Solving for variable 'y'.

Begin completing the square.

Move the constant term to the right:

Add '-36' to each side of the equation.
36 + 9y + -36 + y2 = 0 + -36

Reorder the terms:
36 + -36 + 9y + y2 = 0 + -36

Combine like terms: 36 + -36 = 0
0 + 9y + y2 = 0 + -36
9y + y2 = 0 + -36

Combine like terms: 0 + -36 = -36
9y + y2 = -36

The y term is 9y.  Take half its coefficient (4.5).
Square it (20.25) and add it to both sides.

Add '20.25' to each side of the equation.
9y + 20.25 + y2 = -36 + 20.25

Reorder the terms:
20.25 + 9y + y2 = -36 + 20.25

Combine like terms: -36 + 20.25 = -15.75
20.25 + 9y + y2 = -15.75

Factor a perfect square on the left side:
(y + 4.5)(y + 4.5) = -15.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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