7v^2-42v=0

Solution for 7v^2-42v=0 equation:

Simplifying
7v2 + -42v = 0

Reorder the terms:
-42v + 7v2 = 0

Solving
-42v + 7v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '7v'.
7v(-6 + v) = 0

Ignore the factor 7.
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 '(-6 + v)' equal to zero and attempt to solve:

Simplifying
-6 + v = 0

Solving
-6 + v = 0

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

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

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

Combine like terms: 0 + 6 = 6
v = 6

Simplifying
v = 6
Solution
v = {0, 6}