j^2+6j=0

Solution for j^2+6j=0 equation:

Simplifying
j2 + 6j = 0

Reorder the terms:
6j + j2 = 0

Solving
6j + j2 = 0

Solving for variable 'j'.

Factor out the Greatest Common Factor (GCF), 'j'.
j(6 + j) = 0

Subproblem 1
Set the factor 'j' equal to zero and attempt to solve:

Simplifying
j = 0

Solving
j = 0

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

Simplifying
j = 0
Subproblem 2
Set the factor '(6 + j)' equal to zero and attempt to solve:

Simplifying
6 + j = 0

Solving
6 + j = 0

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

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

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

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

Simplifying
j = -6
Solution
j = {0, -6}