20(v-6)(2v-3)=

Solution for 20(v-6)(2v-3)= equation:

Simplifying
20(v + -6)(2v + -3) = 0

Reorder the terms:
20(-6 + v)(2v + -3) = 0

Reorder the terms:
20(-6 + v)(-3 + 2v) = 0

Multiply (-6 + v) * (-3 + 2v)
20(-6(-3 + 2v) + v(-3 + 2v)) = 0
20((-3 * -6 + 2v * -6) + v(-3 + 2v)) = 0
20((18 + -12v) + v(-3 + 2v)) = 0
20(18 + -12v + (-3 * v + 2v * v)) = 0
20(18 + -12v + (-3v + 2v2)) = 0

Combine like terms: -12v + -3v = -15v
20(18 + -15v + 2v2) = 0
(18 * 20 + -15v * 20 + 2v2 * 20) = 0
(360 + -300v + 40v2) = 0

Solving
360 + -300v + 40v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '20'.
20(18 + -15v + 2v2) = 0

Factor a trinomial.
20((3 + -2v)(6 + -1v)) = 0

Ignore the factor 20.
Subproblem 1
Set the factor '(3 + -2v)' equal to zero and attempt to solve:

Simplifying
3 + -2v = 0

Solving
3 + -2v = 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 + -2v = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2v = 0 + -3
-2v = 0 + -3

Combine like terms: 0 + -3 = -3
-2v = -3

Divide each side by '-2'.
v = 1.5

Simplifying
v = 1.5
Subproblem 2
Set the factor '(6 + -1v)' equal to zero and attempt to solve:

Simplifying
6 + -1v = 0

Solving
6 + -1v = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1v = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1v = 0 + -6
-1v = 0 + -6

Combine like terms: 0 + -6 = -6
-1v = -6

Divide each side by '-1'.
v = 6

Simplifying
v = 6
Solution
v = {1.5, 6}