j^2+13j+30=0

Solution for j^2+13j+30=0 equation:

Simplifying
j2 + 13j + 30 = 0

Reorder the terms:
30 + 13j + j2 = 0

Solving
30 + 13j + j2 = 0

Solving for variable 'j'.

Factor a trinomial.
(10 + j)(3 + j) = 0

Subproblem 1
Set the factor '(10 + j)' equal to zero and attempt to solve:

Simplifying
10 + j = 0

Solving
10 + j = 0

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

Add '-10' to each side of the equation.
10 + -10 + j = 0 + -10

Combine like terms: 10 + -10 = 0
0 + j = 0 + -10
j = 0 + -10

Combine like terms: 0 + -10 = -10
j = -10

Simplifying
j = -10
Subproblem 2
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
Solution
j = {-10, -3}