(9v+7)(2v-6)=0

Solution for (9v+7)(2v-6)=0 equation:

Simplifying
(9v + 7)(2v + -6) = 0

Reorder the terms:
(7 + 9v)(2v + -6) = 0

Reorder the terms:
(7 + 9v)(-6 + 2v) = 0

Multiply (7 + 9v) * (-6 + 2v)
(7(-6 + 2v) + 9v * (-6 + 2v)) = 0
((-6 * 7 + 2v * 7) + 9v * (-6 + 2v)) = 0
((-42 + 14v) + 9v * (-6 + 2v)) = 0
(-42 + 14v + (-6 * 9v + 2v * 9v)) = 0
(-42 + 14v + (-54v + 18v2)) = 0

Combine like terms: 14v + -54v = -40v
(-42 + -40v + 18v2) = 0

Solving
-42 + -40v + 18v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-21 + -20v + 9v2) = 0

Factor a trinomial.
2((-7 + -9v)(3 + -1v)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-7 + -9v)' equal to zero and attempt to solve:

Simplifying
-7 + -9v = 0

Solving
-7 + -9v = 0

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

Add '7' to each side of the equation.
-7 + 7 + -9v = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -9v = 0 + 7
-9v = 0 + 7

Combine like terms: 0 + 7 = 7
-9v = 7

Divide each side by '-9'.
v = -0.7777777778

Simplifying
v = -0.7777777778
Subproblem 2
Set the factor '(3 + -1v)' equal to zero and attempt to solve:

Simplifying
3 + -1v = 0

Solving
3 + -1v = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1v = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1v = 0 + -3
-1v = 0 + -3

Combine like terms: 0 + -3 = -3
-1v = -3

Divide each side by '-1'.
v = 3

Simplifying
v = 3
Solution
v = {-0.7777777778, 3}