j^2+43j=0

Solution for j^2+43j=0 equation:

Simplifying
j2 + 43j = 0

Reorder the terms:
43j + j2 = 0

Solving
43j + j2 = 0

Solving for variable 'j'.

Factor out the Greatest Common Factor (GCF), 'j'.
j(43 + 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 '(43 + j)' equal to zero and attempt to solve:

Simplifying
43 + j = 0

Solving
43 + j = 0

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

Add '-43' to each side of the equation.
43 + -43 + j = 0 + -43

Combine like terms: 43 + -43 = 0
0 + j = 0 + -43
j = 0 + -43

Combine like terms: 0 + -43 = -43
j = -43

Simplifying
j = -43
Solution
j = {0, -43}