v(v-5)=50

Solution for v(v-5)=50 equation:

Simplifying
v(v + -5) = 50

Reorder the terms:
v(-5 + v) = 50
(-5 * v + v * v) = 50
(-5v + v2) = 50

Solving
-5v + v2 = 50

Solving for variable 'v'.

Reorder the terms:
-50 + -5v + v2 = 50 + -50

Combine like terms: 50 + -50 = 0
-50 + -5v + v2 = 0

Factor a trinomial.
(-5 + -1v)(10 + -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 '(10 + -1v)' equal to zero and attempt to solve:

Simplifying
10 + -1v = 0

Solving
10 + -1v = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1v = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1v = 0 + -10
-1v = 0 + -10

Combine like terms: 0 + -10 = -10
-1v = -10

Divide each side by '-1'.
v = 10

Simplifying
v = 10
Solution
v = {-5, 10}