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

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

Simplifying
2(v + -7)(-1v + -6) = 0

Reorder the terms:
2(-7 + v)(-1v + -6) = 0

Reorder the terms:
2(-7 + v)(-6 + -1v) = 0

Multiply (-7 + v) * (-6 + -1v)
2(-7(-6 + -1v) + v(-6 + -1v)) = 0
2((-6 * -7 + -1v * -7) + v(-6 + -1v)) = 0
2((42 + 7v) + v(-6 + -1v)) = 0
2(42 + 7v + (-6 * v + -1v * v)) = 0
2(42 + 7v + (-6v + -1v2)) = 0

Combine like terms: 7v + -6v = 1v
2(42 + 1v + -1v2) = 0
(42 * 2 + 1v * 2 + -1v2 * 2) = 0
(84 + 2v + -2v2) = 0

Solving
84 + 2v + -2v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '2'.
2(42 + v + -1v2) = 0

Factor a trinomial.
2((7 + -1v)(6 + v)) = 0

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

Simplifying
7 + -1v = 0

Solving
7 + -1v = 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 + -1v = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1v = 0 + -7
-1v = 0 + -7

Combine like terms: 0 + -7 = -7
-1v = -7

Divide each side by '-1'.
v = 7

Simplifying
v = 7
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 = {7, -6}