(v-1)(v-6)=

Solution for (v-1)(v-6)= equation:

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

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

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

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

Combine like terms: -1v + -6v = -7v
(6 + -7v + v2) = 0

Solving
6 + -7v + v2 = 0

Solving for variable 'v'.

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

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 '(6 + -1v)' equal to zero and attempt to solve:

Simplifying
6 + -1v = 0

Solving
6 + -1v = 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 + -1v = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1v = 0 + -6
-1v = 0 + -6

Combine like terms: 0 + -6 = -6
-1v = -6

Divide each side by '-1'.
v = 6

Simplifying
v = 6
Solution
v = {1, 6}