3y^2-2y+8=5

Solution for 3y^2-2y+8=5 equation:

Simplifying
3y2 + -2y + 8 = 5

Reorder the terms:
8 + -2y + 3y2 = 5

Solving
8 + -2y + 3y2 = 5

Solving for variable 'y'.

Reorder the terms:
8 + -5 + -2y + 3y2 = 5 + -5

Combine like terms: 8 + -5 = 3
3 + -2y + 3y2 = 5 + -5

Combine like terms: 5 + -5 = 0
3 + -2y + 3y2 = 0

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

Divide each side by '3'.
1 + -0.6666666667y + y2 = 0

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + -0.6666666667y + -1 + y2 = 0 + -1

Reorder the terms:
1 + -1 + -0.6666666667y + y2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -0.6666666667y + y2 = 0 + -1
-0.6666666667y + y2 = 0 + -1

Combine like terms: 0 + -1 = -1
-0.6666666667y + y2 = -1

The y term is -0.6666666667y.  Take half its coefficient (-0.3333333334).
Square it (0.1111111112) and add it to both sides.

Add '0.1111111112' to each side of the equation.
-0.6666666667y + 0.1111111112 + y2 = -1 + 0.1111111112

Reorder the terms:
0.1111111112 + -0.6666666667y + y2 = -1 + 0.1111111112

Combine like terms: -1 + 0.1111111112 = -0.8888888888
0.1111111112 + -0.6666666667y + y2 = -0.8888888888

Factor a perfect square on the left side:
(y + -0.3333333334)(y + -0.3333333334) = -0.8888888888

Can't calculate square root of the right side.

The solution to this equation could not be determined.