5y^2=11y-218

Solution for 5y^2=11y-218 equation:

Simplifying
5y2 = 11y + -218

Reorder the terms:
5y2 = -218 + 11y

Solving
5y2 = -218 + 11y

Solving for variable 'y'.

Reorder the terms:
218 + -11y + 5y2 = -218 + 11y + 218 + -11y

Reorder the terms:
218 + -11y + 5y2 = -218 + 218 + 11y + -11y

Combine like terms: -218 + 218 = 0
218 + -11y + 5y2 = 0 + 11y + -11y
218 + -11y + 5y2 = 11y + -11y

Combine like terms: 11y + -11y = 0
218 + -11y + 5y2 = 0

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

Divide each side by '5'.
43.6 + -2.2y + y2 = 0

Move the constant term to the right:

Add '-43.6' to each side of the equation.
43.6 + -2.2y + -43.6 + y2 = 0 + -43.6

Reorder the terms:
43.6 + -43.6 + -2.2y + y2 = 0 + -43.6

Combine like terms: 43.6 + -43.6 = 0.0
0.0 + -2.2y + y2 = 0 + -43.6
-2.2y + y2 = 0 + -43.6

Combine like terms: 0 + -43.6 = -43.6
-2.2y + y2 = -43.6

The y term is -2.2y.  Take half its coefficient (-1.1).
Square it (1.21) and add it to both sides.

Add '1.21' to each side of the equation.
-2.2y + 1.21 + y2 = -43.6 + 1.21

Reorder the terms:
1.21 + -2.2y + y2 = -43.6 + 1.21

Combine like terms: -43.6 + 1.21 = -42.39
1.21 + -2.2y + y2 = -42.39

Factor a perfect square on the left side:
(y + -1.1)(y + -1.1) = -42.39

Can't calculate square root of the right side.

The solution to this equation could not be determined.