4+4y-6y^2=2

Solution for 4+4y-6y^2=2 equation:

Simplifying
4 + 4y + -6y2 = 2

Solving
4 + 4y + -6y2 = 2

Solving for variable 'y'.

Reorder the terms:
4 + -2 + 4y + -6y2 = 2 + -2

Combine like terms: 4 + -2 = 2
2 + 4y + -6y2 = 2 + -2

Combine like terms: 2 + -2 = 0
2 + 4y + -6y2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(1 + 2y + -3y2) = 0

Factor a trinomial.
2((1 + -1y)(1 + 3y)) = 0

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

Simplifying
1 + -1y = 0

Solving
1 + -1y = 0

Move all terms containing y to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + -1y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1y = 0 + -1
-1y = 0 + -1

Combine like terms: 0 + -1 = -1
-1y = -1

Divide each side by '-1'.
y = 1

Simplifying
y = 1
Subproblem 2
Set the factor '(1 + 3y)' equal to zero and attempt to solve:

Simplifying
1 + 3y = 0

Solving
1 + 3y = 0

Move all terms containing y to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + 3y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 3y = 0 + -1
3y = 0 + -1

Combine like terms: 0 + -1 = -1
3y = -1

Divide each side by '3'.
y = -0.3333333333

Simplifying
y = -0.3333333333
Solution
y = {1, -0.3333333333}