-6y+6=-2y(4y+6)

Solution for -6y+6=-2y(4y+6) equation:

Simplifying
-6y + 6 = -2y(4y + 6)

Reorder the terms:
6 + -6y = -2y(4y + 6)

Reorder the terms:
6 + -6y = -2y(6 + 4y)
6 + -6y = (6 * -2y + 4y * -2y)
6 + -6y = (-12y + -8y2)

Solving
6 + -6y = -12y + -8y2

Solving for variable 'y'.

Combine like terms: -6y + 12y = 6y
6 + 6y + 8y2 = -12y + -8y2 + 12y + 8y2

Reorder the terms:
6 + 6y + 8y2 = -12y + 12y + -8y2 + 8y2

Combine like terms: -12y + 12y = 0
6 + 6y + 8y2 = 0 + -8y2 + 8y2
6 + 6y + 8y2 = -8y2 + 8y2

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

Factor out the Greatest Common Factor (GCF), '2'.
2(3 + 3y + 4y2) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(3 + 3y + 4y2)' equal to zero and attempt to solve:

Simplifying
3 + 3y + 4y2 = 0

Solving
3 + 3y + 4y2 = 0

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

Divide each side by '4'.
0.75 + 0.75y + y2 = 0

Move the constant term to the right:

Add '-0.75' to each side of the equation.
0.75 + 0.75y + -0.75 + y2 = 0 + -0.75

Reorder the terms:
0.75 + -0.75 + 0.75y + y2 = 0 + -0.75

Combine like terms: 0.75 + -0.75 = 0.00
0.00 + 0.75y + y2 = 0 + -0.75
0.75y + y2 = 0 + -0.75

Combine like terms: 0 + -0.75 = -0.75
0.75y + y2 = -0.75

The y term is 0.75y.  Take half its coefficient (0.375).
Square it (0.140625) and add it to both sides.

Add '0.140625' to each side of the equation.
0.75y + 0.140625 + y2 = -0.75 + 0.140625

Reorder the terms:
0.140625 + 0.75y + y2 = -0.75 + 0.140625

Combine like terms: -0.75 + 0.140625 = -0.609375
0.140625 + 0.75y + y2 = -0.609375

Factor a perfect square on the left side:
(y + 0.375)(y + 0.375) = -0.609375

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.