j^2+37j=0

Solution for j^2+37j=0 equation:

Simplifying
j2 + 37j = 0

Reorder the terms:
37j + j2 = 0

Solving
37j + j2 = 0

Solving for variable 'j'.

Factor out the Greatest Common Factor (GCF), 'j'.
j(37 + 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 '(37 + j)' equal to zero and attempt to solve:

Simplifying
37 + j = 0

Solving
37 + j = 0

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

Add '-37' to each side of the equation.
37 + -37 + j = 0 + -37

Combine like terms: 37 + -37 = 0
0 + j = 0 + -37
j = 0 + -37

Combine like terms: 0 + -37 = -37
j = -37

Simplifying
j = -37
Solution
j = {0, -37}