18y^2=9y-5

Solution for 18y^2=9y-5 equation:

Simplifying
18y2 = 9y + -5

Reorder the terms:
18y2 = -5 + 9y

Solving
18y2 = -5 + 9y

Solving for variable 'y'.

Reorder the terms:
5 + -9y + 18y2 = -5 + 9y + 5 + -9y

Reorder the terms:
5 + -9y + 18y2 = -5 + 5 + 9y + -9y

Combine like terms: -5 + 5 = 0
5 + -9y + 18y2 = 0 + 9y + -9y
5 + -9y + 18y2 = 9y + -9y

Combine like terms: 9y + -9y = 0
5 + -9y + 18y2 = 0

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

Divide each side by '18'.
0.2777777778 + -0.5y + y2 = 0

Move the constant term to the right:

Add '-0.2777777778' to each side of the equation.
0.2777777778 + -0.5y + -0.2777777778 + y2 = 0 + -0.2777777778

Reorder the terms:
0.2777777778 + -0.2777777778 + -0.5y + y2 = 0 + -0.2777777778

Combine like terms: 0.2777777778 + -0.2777777778 = 0.0000000000
0.0000000000 + -0.5y + y2 = 0 + -0.2777777778
-0.5y + y2 = 0 + -0.2777777778

Combine like terms: 0 + -0.2777777778 = -0.2777777778
-0.5y + y2 = -0.2777777778

The y term is -0.5y.  Take half its coefficient (-0.25).
Square it (0.0625) and add it to both sides.

Add '0.0625' to each side of the equation.
-0.5y + 0.0625 + y2 = -0.2777777778 + 0.0625

Reorder the terms:
0.0625 + -0.5y + y2 = -0.2777777778 + 0.0625

Combine like terms: -0.2777777778 + 0.0625 = -0.2152777778
0.0625 + -0.5y + y2 = -0.2152777778

Factor a perfect square on the left side:
(y + -0.25)(y + -0.25) = -0.2152777778

Can't calculate square root of the right side.

The solution to this equation could not be determined.