28y^2=-96-184y

Solution for 28y^2=-96-184y equation:

Simplifying
28y2 = -96 + -184y

Solving
28y2 = -96 + -184y

Solving for variable 'y'.

Reorder the terms:
96 + 184y + 28y2 = -96 + -184y + 96 + 184y

Reorder the terms:
96 + 184y + 28y2 = -96 + 96 + -184y + 184y

Combine like terms: -96 + 96 = 0
96 + 184y + 28y2 = 0 + -184y + 184y
96 + 184y + 28y2 = -184y + 184y

Combine like terms: -184y + 184y = 0
96 + 184y + 28y2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(24 + 46y + 7y2) = 0

Factor a trinomial.
4((6 + y)(4 + 7y)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(6 + y)' equal to zero and attempt to solve:

Simplifying
6 + y = 0

Solving
6 + y = 0

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

Add '-6' to each side of the equation.
6 + -6 + y = 0 + -6

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

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

Simplifying
y = -6
Subproblem 2
Set the factor '(4 + 7y)' equal to zero and attempt to solve:

Simplifying
4 + 7y = 0

Solving
4 + 7y = 0

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

Add '-4' to each side of the equation.
4 + -4 + 7y = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 7y = 0 + -4
7y = 0 + -4

Combine like terms: 0 + -4 = -4
7y = -4

Divide each side by '7'.
y = -0.5714285714

Simplifying
y = -0.5714285714
Solution
y = {-6, -0.5714285714}