y^2+2.5y+3=0

Solution for y^2+2.5y+3=0 equation:

Simplifying
y2 + 2.5y + 3 = 0

Reorder the terms:
3 + 2.5y + y2 = 0

Solving
3 + 2.5y + y2 = 0

Solving for variable 'y'.

Begin completing the square.

Move the constant term to the right:

Add '-3' to each side of the equation.
3 + 2.5y + -3 + y2 = 0 + -3

Reorder the terms:
3 + -3 + 2.5y + y2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2.5y + y2 = 0 + -3
2.5y + y2 = 0 + -3

Combine like terms: 0 + -3 = -3
2.5y + y2 = -3

The y term is 2.5y.  Take half its coefficient (1.25).
Square it (1.5625) and add it to both sides.

Add '1.5625' to each side of the equation.
2.5y + 1.5625 + y2 = -3 + 1.5625

Reorder the terms:
1.5625 + 2.5y + y2 = -3 + 1.5625

Combine like terms: -3 + 1.5625 = -1.4375
1.5625 + 2.5y + y2 = -1.4375

Factor a perfect square on the left side:
(y + 1.25)(y + 1.25) = -1.4375

Can't calculate square root of the right side.

The solution to this equation could not be determined.