8J^2+36J+36=0

Solution for 8J^2+36J+36=0 equation:

Simplifying
8J2 + 36J + 36 = 0

Reorder the terms:
36 + 36J + 8J2 = 0

Solving
36 + 36J + 8J2 = 0

Solving for variable 'J'.

Factor out the Greatest Common Factor (GCF), '4'.
4(9 + 9J + 2J2) = 0

Factor a trinomial.
4((3 + J)(3 + 2J)) = 0

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

Simplifying
3 + J = 0

Solving
3 + J = 0

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

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

Combine like terms: 3 + -3 = 0
0 + J = 0 + -3
J = 0 + -3

Combine like terms: 0 + -3 = -3
J = -3

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

Simplifying
3 + 2J = 0

Solving
3 + 2J = 0

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

Add '-3' to each side of the equation.
3 + -3 + 2J = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2J = 0 + -3
2J = 0 + -3

Combine like terms: 0 + -3 = -3
2J = -3

Divide each side by '2'.
J = -1.5

Simplifying
J = -1.5
Solution
J = {-3, -1.5}