2y^2+14y+43=0

Solution for 2y^2+14y+43=0 equation:

Simplifying
2y2 + 14y + 43 = 0

Reorder the terms:
43 + 14y + 2y2 = 0

Solving
43 + 14y + 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'.
21.5 + 7y + y2 = 0

Move the constant term to the right:

Add '-21.5' to each side of the equation.
21.5 + 7y + -21.5 + y2 = 0 + -21.5

Reorder the terms:
21.5 + -21.5 + 7y + y2 = 0 + -21.5

Combine like terms: 21.5 + -21.5 = 0.0
0.0 + 7y + y2 = 0 + -21.5
7y + y2 = 0 + -21.5

Combine like terms: 0 + -21.5 = -21.5
7y + y2 = -21.5

The y term is 7y.  Take half its coefficient (3.5).
Square it (12.25) and add it to both sides.

Add '12.25' to each side of the equation.
7y + 12.25 + y2 = -21.5 + 12.25

Reorder the terms:
12.25 + 7y + y2 = -21.5 + 12.25

Combine like terms: -21.5 + 12.25 = -9.25
12.25 + 7y + y2 = -9.25

Factor a perfect square on the left side:
(y + 3.5)(y + 3.5) = -9.25

Can't calculate square root of the right side.

The solution to this equation could not be determined.