28y^2+18y+2=0

Solution for 28y^2+18y+2=0 equation:

Simplifying
28y2 + 18y + 2 = 0

Reorder the terms:
2 + 18y + 28y2 = 0

Solving
2 + 18y + 28y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '2'.
2(1 + 9y + 14y2) = 0

Factor a trinomial.
2((1 + 2y)(1 + 7y)) = 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 + 7y)' equal to zero and attempt to solve:

Simplifying
1 + 7y = 0

Solving
1 + 7y = 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 + 7y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 7y = 0 + -1
7y = 0 + -1

Combine like terms: 0 + -1 = -1
7y = -1

Divide each side by '7'.
y = -0.1428571429

Simplifying
y = -0.1428571429
Solution
y = {-0.5, -0.1428571429}