y^2+3y+3.25=0

Solution for y^2+3y+3.25=0 equation:

Simplifying
y2 + 3y + 3.25 = 0

Reorder the terms:
3.25 + 3y + y2 = 0

Solving
3.25 + 3y + y2 = 0

Solving for variable 'y'.

Begin completing the square.

Move the constant term to the right:

Add '-3.25' to each side of the equation.
3.25 + 3y + -3.25 + y2 = 0 + -3.25

Reorder the terms:
3.25 + -3.25 + 3y + y2 = 0 + -3.25

Combine like terms: 3.25 + -3.25 = 0.00
0.00 + 3y + y2 = 0 + -3.25
3y + y2 = 0 + -3.25

Combine like terms: 0 + -3.25 = -3.25
3y + y2 = -3.25

The y term is 3y.  Take half its coefficient (1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
3y + 2.25 + y2 = -3.25 + 2.25

Reorder the terms:
2.25 + 3y + y2 = -3.25 + 2.25

Combine like terms: -3.25 + 2.25 = -1
2.25 + 3y + y2 = -1

Factor a perfect square on the left side:
(y + 1.5)(y + 1.5) = -1

Can't calculate square root of the right side.

The solution to this equation could not be determined.