v(v-4)=5

Solution for v(v-4)=5 equation:

Simplifying
v(v + -4) = 5

Reorder the terms:
v(-4 + v) = 5
(-4 * v + v * v) = 5
(-4v + v2) = 5

Solving
-4v + v2 = 5

Solving for variable 'v'.

Reorder the terms:
-5 + -4v + v2 = 5 + -5

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

Factor a trinomial.
(-1 + -1v)(5 + -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 '(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
Solution
v = {-1, 5}