6y*y-y-1-6y*y-15y-12=12y*y+3y

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Solution for 6y*y-y-1-6y*y-15y-12=12y*y+3y equation: 


Simplifying
6y * y + -1y + -1 + -6y * y + -15y + -12 = 12y * y + 3y

Multiply y * y
6y2 + -1y + -1 + -6y * y + -15y + -12 = 12y * y + 3y

Multiply y * y
6y2 + -1y + -1 + -6y2 + -15y + -12 = 12y * y + 3y

Reorder the terms:
-1 + -12 + -1y + -15y + 6y2 + -6y2 = 12y * y + 3y

Combine like terms: -1 + -12 = -13
-13 + -1y + -15y + 6y2 + -6y2 = 12y * y + 3y

Combine like terms: -1y + -15y = -16y
-13 + -16y + 6y2 + -6y2 = 12y * y + 3y

Combine like terms: 6y2 + -6y2 = 0
-13 + -16y + 0 = 12y * y + 3y
-13 + -16y = 12y * y + 3y

Multiply y * y
-13 + -16y = 12y2 + 3y

Reorder the terms:
-13 + -16y = 3y + 12y2

Solving
-13 + -16y = 3y + 12y2

Solving for variable 'y'.

Combine like terms: -16y + -3y = -19y
-13 + -19y + -12y2 = 3y + 12y2 + -3y + -12y2

Reorder the terms:
-13 + -19y + -12y2 = 3y + -3y + 12y2 + -12y2

Combine like terms: 3y + -3y = 0
-13 + -19y + -12y2 = 0 + 12y2 + -12y2
-13 + -19y + -12y2 = 12y2 + -12y2

Combine like terms: 12y2 + -12y2 = 0
-13 + -19y + -12y2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(13 + 19y + 12y2) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(13 + 19y + 12y2)' equal to zero and attempt to solve:

Simplifying
13 + 19y + 12y2 = 0

Solving
13 + 19y + 12y2 = 0

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

Divide each side by '12'.
1.083333333 + 1.583333333y + y2 = 0

Move the constant term to the right:

Add '-1.083333333' to each side of the equation.
1.083333333 + 1.583333333y + -1.083333333 + y2 = 0 + -1.083333333

Reorder the terms:
1.083333333 + -1.083333333 + 1.583333333y + y2 = 0 + -1.083333333

Combine like terms: 1.083333333 + -1.083333333 = 0.000000000
0.000000000 + 1.583333333y + y2 = 0 + -1.083333333
1.583333333y + y2 = 0 + -1.083333333

Combine like terms: 0 + -1.083333333 = -1.083333333
1.583333333y + y2 = -1.083333333

The y term is 1.583333333y.  Take half its coefficient (0.7916666665).
Square it (0.6267361108) and add it to both sides.

Add '0.6267361108' to each side of the equation.
1.583333333y + 0.6267361108 + y2 = -1.083333333 + 0.6267361108

Reorder the terms:
0.6267361108 + 1.583333333y + y2 = -1.083333333 + 0.6267361108

Combine like terms: -1.083333333 + 0.6267361108 = -0.4565972222
0.6267361108 + 1.583333333y + y2 = -0.4565972222

Factor a perfect square on the left side:
(y + 0.7916666665)(y + 0.7916666665) = -0.4565972222

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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