15y^2-16y+15=0

Solution for 15y^2-16y+15=0 equation:

Simplifying
15y2 + -16y + 15 = 0

Reorder the terms:
15 + -16y + 15y2 = 0

Solving
15 + -16y + 15y2 = 0

Solving for variable 'y'.

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

Divide each side by '15'.
1 + -1.066666667y + y2 = 0

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + -1.066666667y + -1 + y2 = 0 + -1

Reorder the terms:
1 + -1 + -1.066666667y + y2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1.066666667y + y2 = 0 + -1
-1.066666667y + y2 = 0 + -1

Combine like terms: 0 + -1 = -1
-1.066666667y + y2 = -1

The y term is -1.066666667y.  Take half its coefficient (-0.5333333335).
Square it (0.2844444446) and add it to both sides.

Add '0.2844444446' to each side of the equation.
-1.066666667y + 0.2844444446 + y2 = -1 + 0.2844444446

Reorder the terms:
0.2844444446 + -1.066666667y + y2 = -1 + 0.2844444446

Combine like terms: -1 + 0.2844444446 = -0.7155555554
0.2844444446 + -1.066666667y + y2 = -0.7155555554

Factor a perfect square on the left side:
(y + -0.5333333335)(y + -0.5333333335) = -0.7155555554

Can't calculate square root of the right side.

The solution to this equation could not be determined.