(v-1)(3v-3)=

Solution for (v-1)(3v-3)= equation:

Simplifying
(v + -1)(3v + -3) = 0

Reorder the terms:
(-1 + v)(3v + -3) = 0

Reorder the terms:
(-1 + v)(-3 + 3v) = 0

Multiply (-1 + v) * (-3 + 3v)
(-1(-3 + 3v) + v(-3 + 3v)) = 0
((-3 * -1 + 3v * -1) + v(-3 + 3v)) = 0
((3 + -3v) + v(-3 + 3v)) = 0
(3 + -3v + (-3 * v + 3v * v)) = 0
(3 + -3v + (-3v + 3v2)) = 0

Combine like terms: -3v + -3v = -6v
(3 + -6v + 3v2) = 0

Solving
3 + -6v + 3v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '3'.
3(1 + -2v + v2) = 0

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

Ignore the factor 3.
Subproblem 1
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
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 = {1, 1}