6y^2=-7y-7

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Solution for 6y^2=-7y-7 equation: 


Simplifying
6y2 = -7y + -7

Reorder the terms:
6y2 = -7 + -7y

Solving
6y2 = -7 + -7y

Solving for variable 'y'.

Reorder the terms:
7 + 7y + 6y2 = -7 + -7y + 7 + 7y

Reorder the terms:
7 + 7y + 6y2 = -7 + 7 + -7y + 7y

Combine like terms: -7 + 7 = 0
7 + 7y + 6y2 = 0 + -7y + 7y
7 + 7y + 6y2 = -7y + 7y

Combine like terms: -7y + 7y = 0
7 + 7y + 6y2 = 0

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

Divide each side by '6'.
1.166666667 + 1.166666667y + y2 = 0

Move the constant term to the right:

Add '-1.166666667' to each side of the equation.
1.166666667 + 1.166666667y + -1.166666667 + y2 = 0 + -1.166666667

Reorder the terms:
1.166666667 + -1.166666667 + 1.166666667y + y2 = 0 + -1.166666667

Combine like terms: 1.166666667 + -1.166666667 = 0.000000000
0.000000000 + 1.166666667y + y2 = 0 + -1.166666667
1.166666667y + y2 = 0 + -1.166666667

Combine like terms: 0 + -1.166666667 = -1.166666667
1.166666667y + y2 = -1.166666667

The y term is 1.166666667y.  Take half its coefficient (0.5833333335).
Square it (0.3402777780) and add it to both sides.

Add '0.3402777780' to each side of the equation.
1.166666667y + 0.3402777780 + y2 = -1.166666667 + 0.3402777780

Reorder the terms:
0.3402777780 + 1.166666667y + y2 = -1.166666667 + 0.3402777780

Combine like terms: -1.166666667 + 0.3402777780 = -0.826388889
0.3402777780 + 1.166666667y + y2 = -0.826388889

Factor a perfect square on the left side:
(y + 0.5833333335)(y + 0.5833333335) = -0.826388889

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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