(7v-7)(8v-6)=

Solution for (7v-7)(8v-6)= equation:

Simplifying
(7v + -7)(8v + -6) = 0

Reorder the terms:
(-7 + 7v)(8v + -6) = 0

Reorder the terms:
(-7 + 7v)(-6 + 8v) = 0

Multiply (-7 + 7v) * (-6 + 8v)
(-7(-6 + 8v) + 7v * (-6 + 8v)) = 0
((-6 * -7 + 8v * -7) + 7v * (-6 + 8v)) = 0
((42 + -56v) + 7v * (-6 + 8v)) = 0
(42 + -56v + (-6 * 7v + 8v * 7v)) = 0
(42 + -56v + (-42v + 56v2)) = 0

Combine like terms: -56v + -42v = -98v
(42 + -98v + 56v2) = 0

Solving
42 + -98v + 56v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '14'.
14(3 + -7v + 4v2) = 0

Factor a trinomial.
14((3 + -4v)(1 + -1v)) = 0

Ignore the factor 14.
Subproblem 1
Set the factor '(3 + -4v)' equal to zero and attempt to solve:

Simplifying
3 + -4v = 0

Solving
3 + -4v = 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 + -4v = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -4v = 0 + -3
-4v = 0 + -3

Combine like terms: 0 + -3 = -3
-4v = -3

Divide each side by '-4'.
v = 0.75

Simplifying
v = 0.75
Subproblem 2
Set the factor '(1 + -1v)' equal to zero and attempt to solve:

Simplifying
1 + -1v = 0

Solving
1 + -1v = 0

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

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

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

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

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

Simplifying
v = 1
Solution
v = {0.75, 1}