2y^2+24y=-225

Solution for 2y^2+24y=-225 equation:

Simplifying
2y2 + 24y = -225

Reorder the terms:
24y + 2y2 = -225

Solving
24y + 2y2 = -225

Solving for variable 'y'.

Reorder the terms:
225 + 24y + 2y2 = -225 + 225

Combine like terms: -225 + 225 = 0
225 + 24y + 2y2 = 0

Begin completing the square.  Divide all terms by
2 the coefficient of the squared term: 

Divide each side by '2'.
112.5 + 12y + y2 = 0

Move the constant term to the right:

Add '-112.5' to each side of the equation.
112.5 + 12y + -112.5 + y2 = 0 + -112.5

Reorder the terms:
112.5 + -112.5 + 12y + y2 = 0 + -112.5

Combine like terms: 112.5 + -112.5 = 0.0
0.0 + 12y + y2 = 0 + -112.5
12y + y2 = 0 + -112.5

Combine like terms: 0 + -112.5 = -112.5
12y + y2 = -112.5

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 = -112.5 + 36

Reorder the terms:
36 + 12y + y2 = -112.5 + 36

Combine like terms: -112.5 + 36 = -76.5
36 + 12y + y2 = -76.5

Factor a perfect square on the left side:
(y + 6)(y + 6) = -76.5

Can't calculate square root of the right side.

The solution to this equation could not be determined.