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

Solution for 2(v-5)(-v+1)=0 equation:

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

Reorder the terms:
2(-5 + v)(-1v + 1) = 0

Reorder the terms:
2(-5 + v)(1 + -1v) = 0

Multiply (-5 + v) * (1 + -1v)
2(-5(1 + -1v) + v(1 + -1v)) = 0
2((1 * -5 + -1v * -5) + v(1 + -1v)) = 0
2((-5 + 5v) + v(1 + -1v)) = 0
2(-5 + 5v + (1 * v + -1v * v)) = 0
2(-5 + 5v + (1v + -1v2)) = 0

Combine like terms: 5v + 1v = 6v
2(-5 + 6v + -1v2) = 0
(-5 * 2 + 6v * 2 + -1v2 * 2) = 0
(-10 + 12v + -2v2) = 0

Solving
-10 + 12v + -2v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-5 + 6v + -1v2) = 0

Factor a trinomial.
2((-5 + v)(1 + -1v)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-5 + v)' equal to zero and attempt to solve:

Simplifying
-5 + v = 0

Solving
-5 + v = 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 + v = 0 + 5

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

Combine like terms: 0 + 5 = 5
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}