6y^2+9=5y

Solution for 6y^2+9=5y equation:

Simplifying
6y2 + 9 = 5y

Reorder the terms:
9 + 6y2 = 5y

Solving
9 + 6y2 = 5y

Solving for variable 'y'.

Reorder the terms:
9 + -5y + 6y2 = 5y + -5y

Combine like terms: 5y + -5y = 0
9 + -5y + 6y2 = 0

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

Divide each side by '6'.
1.5 + -0.8333333333y + y2 = 0

Move the constant term to the right:

Add '-1.5' to each side of the equation.
1.5 + -0.8333333333y + -1.5 + y2 = 0 + -1.5

Reorder the terms:
1.5 + -1.5 + -0.8333333333y + y2 = 0 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + -0.8333333333y + y2 = 0 + -1.5
-0.8333333333y + y2 = 0 + -1.5

Combine like terms: 0 + -1.5 = -1.5
-0.8333333333y + y2 = -1.5

The y term is -0.8333333333y.  Take half its coefficient (-0.4166666667).
Square it (0.1736111111) and add it to both sides.

Add '0.1736111111' to each side of the equation.
-0.8333333333y + 0.1736111111 + y2 = -1.5 + 0.1736111111

Reorder the terms:
0.1736111111 + -0.8333333333y + y2 = -1.5 + 0.1736111111

Combine like terms: -1.5 + 0.1736111111 = -1.3263888889
0.1736111111 + -0.8333333333y + y2 = -1.3263888889

Factor a perfect square on the left side:
(y + -0.4166666667)(y + -0.4166666667) = -1.3263888889

Can't calculate square root of the right side.

The solution to this equation could not be determined.