5y^2+17y+16=0

Solution for 5y^2+17y+16=0 equation:

Simplifying
5y2 + 17y + 16 = 0

Reorder the terms:
16 + 17y + 5y2 = 0

Solving
16 + 17y + 5y2 = 0

Solving for variable 'y'.

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

Divide each side by '5'.
3.2 + 3.4y + y2 = 0

Move the constant term to the right:

Add '-3.2' to each side of the equation.
3.2 + 3.4y + -3.2 + y2 = 0 + -3.2

Reorder the terms:
3.2 + -3.2 + 3.4y + y2 = 0 + -3.2

Combine like terms: 3.2 + -3.2 = 0.0
0.0 + 3.4y + y2 = 0 + -3.2
3.4y + y2 = 0 + -3.2

Combine like terms: 0 + -3.2 = -3.2
3.4y + y2 = -3.2

The y term is 3.4y.  Take half its coefficient (1.7).
Square it (2.89) and add it to both sides.

Add '2.89' to each side of the equation.
3.4y + 2.89 + y2 = -3.2 + 2.89

Reorder the terms:
2.89 + 3.4y + y2 = -3.2 + 2.89

Combine like terms: -3.2 + 2.89 = -0.31
2.89 + 3.4y + y2 = -0.31

Factor a perfect square on the left side:
(y + 1.7)(y + 1.7) = -0.31

Can't calculate square root of the right side.

The solution to this equation could not be determined.