(5v-7)(6-v)=0

Solution for (5v-7)(6-v)=0 equation:

Simplifying
(5v + -7)(6 + -1v) = 0

Reorder the terms:
(-7 + 5v)(6 + -1v) = 0

Multiply (-7 + 5v) * (6 + -1v)
(-7(6 + -1v) + 5v * (6 + -1v)) = 0
((6 * -7 + -1v * -7) + 5v * (6 + -1v)) = 0
((-42 + 7v) + 5v * (6 + -1v)) = 0
(-42 + 7v + (6 * 5v + -1v * 5v)) = 0
(-42 + 7v + (30v + -5v2)) = 0

Combine like terms: 7v + 30v = 37v
(-42 + 37v + -5v2) = 0

Solving
-42 + 37v + -5v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-6 + v)(7 + -5v) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(7 + -5v)' equal to zero and attempt to solve:

Simplifying
7 + -5v = 0

Solving
7 + -5v = 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 + -5v = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -5v = 0 + -7
-5v = 0 + -7

Combine like terms: 0 + -7 = -7
-5v = -7

Divide each side by '-5'.
v = 1.4

Simplifying
v = 1.4
Solution
v = {6, 1.4}