6y^2+8=5y

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


Simplifying
6y2 + 8 = 5y

Reorder the terms:
8 + 6y2 = 5y

Solving
8 + 6y2 = 5y

Solving for variable 'y'.

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

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

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

Divide each side by '6'.
1.333333333 + -0.8333333333y + y2 = 0

Move the constant term to the right:

Add '-1.333333333' to each side of the equation.
1.333333333 + -0.8333333333y + -1.333333333 + y2 = 0 + -1.333333333

Reorder the terms:
1.333333333 + -1.333333333 + -0.8333333333y + y2 = 0 + -1.333333333

Combine like terms: 1.333333333 + -1.333333333 = 0.000000000
0.000000000 + -0.8333333333y + y2 = 0 + -1.333333333
-0.8333333333y + y2 = 0 + -1.333333333

Combine like terms: 0 + -1.333333333 = -1.333333333
-0.8333333333y + y2 = -1.333333333

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 = -1.333333333 + 0.1736111111

Reorder the terms:
0.1736111111 + -0.8333333333y + y2 = -1.333333333 + 0.1736111111

Combine like terms: -1.333333333 + 0.1736111111 = -1.1597222219
0.1736111111 + -0.8333333333y + y2 = -1.1597222219

Factor a perfect square on the left side:
(y + -0.4166666667)(y + -0.4166666667) = -1.1597222219

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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