5y^2-8y=-6

Solution for 5y^2-8y=-6 equation:

Simplifying
5y2 + -8y = -6

Reorder the terms:
-8y + 5y2 = -6

Solving
-8y + 5y2 = -6

Solving for variable 'y'.

Reorder the terms:
6 + -8y + 5y2 = -6 + 6

Combine like terms: -6 + 6 = 0
6 + -8y + 5y2 = 0

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

Divide each side by '5'.
1.2 + -1.6y + y2 = 0

Move the constant term to the right:

Add '-1.2' to each side of the equation.
1.2 + -1.6y + -1.2 + y2 = 0 + -1.2

Reorder the terms:
1.2 + -1.2 + -1.6y + y2 = 0 + -1.2

Combine like terms: 1.2 + -1.2 = 0.0
0.0 + -1.6y + y2 = 0 + -1.2
-1.6y + y2 = 0 + -1.2

Combine like terms: 0 + -1.2 = -1.2
-1.6y + y2 = -1.2

The y term is -1.6y.  Take half its coefficient (-0.8).
Square it (0.64) and add it to both sides.

Add '0.64' to each side of the equation.
-1.6y + 0.64 + y2 = -1.2 + 0.64

Reorder the terms:
0.64 + -1.6y + y2 = -1.2 + 0.64

Combine like terms: -1.2 + 0.64 = -0.56
0.64 + -1.6y + y2 = -0.56

Factor a perfect square on the left side:
(y + -0.8)(y + -0.8) = -0.56

Can't calculate square root of the right side.

The solution to this equation could not be determined.