(5v-10)(2v-6)=

Solution for (5v-10)(2v-6)= equation:

Simplifying
(5v + -10)(2v + -6) = 0

Reorder the terms:
(-10 + 5v)(2v + -6) = 0

Reorder the terms:
(-10 + 5v)(-6 + 2v) = 0

Multiply (-10 + 5v) * (-6 + 2v)
(-10(-6 + 2v) + 5v * (-6 + 2v)) = 0
((-6 * -10 + 2v * -10) + 5v * (-6 + 2v)) = 0
((60 + -20v) + 5v * (-6 + 2v)) = 0
(60 + -20v + (-6 * 5v + 2v * 5v)) = 0
(60 + -20v + (-30v + 10v2)) = 0

Combine like terms: -20v + -30v = -50v
(60 + -50v + 10v2) = 0

Solving
60 + -50v + 10v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '10'.
10(6 + -5v + v2) = 0

Factor a trinomial.
10((2 + -1v)(3 + -1v)) = 0

Ignore the factor 10.
Subproblem 1
Set the factor '(2 + -1v)' equal to zero and attempt to solve:

Simplifying
2 + -1v = 0

Solving
2 + -1v = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1v = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1v = 0 + -2
-1v = 0 + -2

Combine like terms: 0 + -2 = -2
-1v = -2

Divide each side by '-1'.
v = 2

Simplifying
v = 2
Subproblem 2
Set the factor '(3 + -1v)' equal to zero and attempt to solve:

Simplifying
3 + -1v = 0

Solving
3 + -1v = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1v = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1v = 0 + -3
-1v = 0 + -3

Combine like terms: 0 + -3 = -3
-1v = -3

Divide each side by '-1'.
v = 3

Simplifying
v = 3
Solution
v = {2, 3}