42v^2+36v=0

Solution for 42v^2+36v=0 equation:

Simplifying
42v2 + 36v = 0

Reorder the terms:
36v + 42v2 = 0

Solving
36v + 42v2 = 0

Solving for variable 'v'.

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

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

Simplifying
6 + 7v = 0

Solving
6 + 7v = 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 + 7v = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 7v = 0 + -6
7v = 0 + -6

Combine like terms: 0 + -6 = -6
7v = -6

Divide each side by '7'.
v = -0.8571428571

Simplifying
v = -0.8571428571
Solution
v = {0, -0.8571428571}