2y^2+5y+105=0

Solution for 2y^2+5y+105=0 equation:

Simplifying
2y2 + 5y + 105 = 0

Reorder the terms:
105 + 5y + 2y2 = 0

Solving
105 + 5y + 2y2 = 0

Solving for variable 'y'.

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

Divide each side by '2'.
52.5 + 2.5y + y2 = 0

Move the constant term to the right:

Add '-52.5' to each side of the equation.
52.5 + 2.5y + -52.5 + y2 = 0 + -52.5

Reorder the terms:
52.5 + -52.5 + 2.5y + y2 = 0 + -52.5

Combine like terms: 52.5 + -52.5 = 0.0
0.0 + 2.5y + y2 = 0 + -52.5
2.5y + y2 = 0 + -52.5

Combine like terms: 0 + -52.5 = -52.5
2.5y + y2 = -52.5

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 = -52.5 + 1.5625

Reorder the terms:
1.5625 + 2.5y + y2 = -52.5 + 1.5625

Combine like terms: -52.5 + 1.5625 = -50.9375
1.5625 + 2.5y + y2 = -50.9375

Factor a perfect square on the left side:
(y + 1.25)(y + 1.25) = -50.9375

Can't calculate square root of the right side.

The solution to this equation could not be determined.