j^2-42j=0

Solution for j^2-42j=0 equation:

Simplifying
j2 + -42j = 0

Reorder the terms:
-42j + j2 = 0

Solving
-42j + j2 = 0

Solving for variable 'j'.

Factor out the Greatest Common Factor (GCF), 'j'.
j(-42 + 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 '(-42 + j)' equal to zero and attempt to solve:

Simplifying
-42 + j = 0

Solving
-42 + j = 0

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

Add '42' to each side of the equation.
-42 + 42 + j = 0 + 42

Combine like terms: -42 + 42 = 0
0 + j = 0 + 42
j = 0 + 42

Combine like terms: 0 + 42 = 42
j = 42

Simplifying
j = 42
Solution
j = {0, 42}