v^2-42v=0

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

Simplifying
v2 + -42v = 0

Reorder the terms:
-42v + v2 = 0

Solving
-42v + v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), 'v'.
v(-42 + v) = 0

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

Simplifying
v = 0

Solving
v = 0

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

Simplifying
v = 0
Subproblem 2
Set the factor '(-42 + v)' equal to zero and attempt to solve:

Simplifying
-42 + v = 0

Solving
-42 + v = 0

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

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

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

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

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