5y^2+18y+100=0

Solution for 5y^2+18y+100=0 equation:

Simplifying
5y2 + 18y + 100 = 0

Reorder the terms:
100 + 18y + 5y2 = 0

Solving
100 + 18y + 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'.
20 + 3.6y + y2 = 0

Move the constant term to the right:

Add '-20' to each side of the equation.
20 + 3.6y + -20 + y2 = 0 + -20

Reorder the terms:
20 + -20 + 3.6y + y2 = 0 + -20

Combine like terms: 20 + -20 = 0
0 + 3.6y + y2 = 0 + -20
3.6y + y2 = 0 + -20

Combine like terms: 0 + -20 = -20
3.6y + y2 = -20

The y term is 3.6y.  Take half its coefficient (1.8).
Square it (3.24) and add it to both sides.

Add '3.24' to each side of the equation.
3.6y + 3.24 + y2 = -20 + 3.24

Reorder the terms:
3.24 + 3.6y + y2 = -20 + 3.24

Combine like terms: -20 + 3.24 = -16.76
3.24 + 3.6y + y2 = -16.76

Factor a perfect square on the left side:
(y + 1.8)(y + 1.8) = -16.76

Can't calculate square root of the right side.

The solution to this equation could not be determined.