9v(7v+6)=0

Solution for 9v(7v+6)=0 equation:

Simplifying
9v(7v + 6) = 0

Reorder the terms:
9v(6 + 7v) = 0
(6 * 9v + 7v * 9v) = 0
(54v + 63v2) = 0

Solving
54v + 63v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '9v'.
9v(6 + 7v) = 0

Ignore the factor 9.
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}