12y^2+7y+8=

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Solution for 12y^2+7y+8= equation: 


Simplifying
12y2 + 7y + 8 = 0

Reorder the terms:
8 + 7y + 12y2 = 0

Solving
8 + 7y + 12y2 = 0

Solving for variable 'y'.

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

Divide each side by '12'.
0.6666666667 + 0.5833333333y + y2 = 0

Move the constant term to the right:

Add '-0.6666666667' to each side of the equation.
0.6666666667 + 0.5833333333y + -0.6666666667 + y2 = 0 + -0.6666666667

Reorder the terms:
0.6666666667 + -0.6666666667 + 0.5833333333y + y2 = 0 + -0.6666666667

Combine like terms: 0.6666666667 + -0.6666666667 = 0.0000000000
0.0000000000 + 0.5833333333y + y2 = 0 + -0.6666666667
0.5833333333y + y2 = 0 + -0.6666666667

Combine like terms: 0 + -0.6666666667 = -0.6666666667
0.5833333333y + y2 = -0.6666666667

The y term is 0.5833333333y.  Take half its coefficient (0.2916666667).
Square it (0.08506944446) and add it to both sides.

Add '0.08506944446' to each side of the equation.
0.5833333333y + 0.08506944446 + y2 = -0.6666666667 + 0.08506944446

Reorder the terms:
0.08506944446 + 0.5833333333y + y2 = -0.6666666667 + 0.08506944446

Combine like terms: -0.6666666667 + 0.08506944446 = -0.58159722224
0.08506944446 + 0.5833333333y + y2 = -0.58159722224

Factor a perfect square on the left side:
(y + 0.2916666667)(y + 0.2916666667) = -0.58159722224

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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