4y^2-6y=-2

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

Simplifying
4y2 + -6y = -2

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

Solving
-6y + 4y2 = -2

Solving for variable 'y'.

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

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

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

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

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

Simplifying
1 + -2y = 0

Solving
1 + -2y = 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 + -2y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2y = 0 + -1
-2y = 0 + -1

Combine like terms: 0 + -1 = -1
-2y = -1

Divide each side by '-2'.
y = 0.5

Simplifying
y = 0.5
Subproblem 2
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
Solution
y = {0.5, 1}