2y^2+3y+79=0

Solution for 2y^2+3y+79=0 equation:

Simplifying
2y2 + 3y + 79 = 0

Reorder the terms:
79 + 3y + 2y2 = 0

Solving
79 + 3y + 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'.
39.5 + 1.5y + y2 = 0

Move the constant term to the right:

Add '-39.5' to each side of the equation.
39.5 + 1.5y + -39.5 + y2 = 0 + -39.5

Reorder the terms:
39.5 + -39.5 + 1.5y + y2 = 0 + -39.5

Combine like terms: 39.5 + -39.5 = 0.0
0.0 + 1.5y + y2 = 0 + -39.5
1.5y + y2 = 0 + -39.5

Combine like terms: 0 + -39.5 = -39.5
1.5y + y2 = -39.5

The y term is 1.5y.  Take half its coefficient (0.75).
Square it (0.5625) and add it to both sides.

Add '0.5625' to each side of the equation.
1.5y + 0.5625 + y2 = -39.5 + 0.5625

Reorder the terms:
0.5625 + 1.5y + y2 = -39.5 + 0.5625

Combine like terms: -39.5 + 0.5625 = -38.9375
0.5625 + 1.5y + y2 = -38.9375

Factor a perfect square on the left side:
(y + 0.75)(y + 0.75) = -38.9375

Can't calculate square root of the right side.

The solution to this equation could not be determined.