(v+5)(v-1)=

Solution for (v+5)(v-1)= equation:

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

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

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

Multiply (5 + v) * (-1 + v)
(5(-1 + v) + v(-1 + v)) = 0
((-1 * 5 + v * 5) + v(-1 + v)) = 0
((-5 + 5v) + v(-1 + v)) = 0
(-5 + 5v + (-1 * v + v * v)) = 0
(-5 + 5v + (-1v + v2)) = 0

Combine like terms: 5v + -1v = 4v
(-5 + 4v + v2) = 0

Solving
-5 + 4v + v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-5 + -1v)(1 + -1v) = 0

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

Simplifying
-5 + -1v = 0

Solving
-5 + -1v = 0

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

Add '5' to each side of the equation.
-5 + 5 + -1v = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1v = 0 + 5
-1v = 0 + 5

Combine like terms: 0 + 5 = 5
-1v = 5

Divide each side by '-1'.
v = -5

Simplifying
v = -5
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 = {-5, 1}