6y^2-2y=-7

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


Simplifying
6y2 + -2y = -7

Reorder the terms:
-2y + 6y2 = -7

Solving
-2y + 6y2 = -7

Solving for variable 'y'.

Reorder the terms:
7 + -2y + 6y2 = -7 + 7

Combine like terms: -7 + 7 = 0
7 + -2y + 6y2 = 0

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

Divide each side by '6'.
1.166666667 + -0.3333333333y + y2 = 0

Move the constant term to the right:

Add '-1.166666667' to each side of the equation.
1.166666667 + -0.3333333333y + -1.166666667 + y2 = 0 + -1.166666667

Reorder the terms:
1.166666667 + -1.166666667 + -0.3333333333y + y2 = 0 + -1.166666667

Combine like terms: 1.166666667 + -1.166666667 = 0.000000000
0.000000000 + -0.3333333333y + y2 = 0 + -1.166666667
-0.3333333333y + y2 = 0 + -1.166666667

Combine like terms: 0 + -1.166666667 = -1.166666667
-0.3333333333y + y2 = -1.166666667

The y term is -0.3333333333y.  Take half its coefficient (-0.1666666667).
Square it (0.02777777779) and add it to both sides.

Add '0.02777777779' to each side of the equation.
-0.3333333333y + 0.02777777779 + y2 = -1.166666667 + 0.02777777779

Reorder the terms:
0.02777777779 + -0.3333333333y + y2 = -1.166666667 + 0.02777777779

Combine like terms: -1.166666667 + 0.02777777779 = -1.13888888921
0.02777777779 + -0.3333333333y + y2 = -1.13888888921

Factor a perfect square on the left side:
(y + -0.1666666667)(y + -0.1666666667) = -1.13888888921

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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