(4v-6)(5v-3)=

Solution for (4v-6)(5v-3)= equation:

Simplifying
(4v + -6)(5v + -3) = 0

Reorder the terms:
(-6 + 4v)(5v + -3) = 0

Reorder the terms:
(-6 + 4v)(-3 + 5v) = 0

Multiply (-6 + 4v) * (-3 + 5v)
(-6(-3 + 5v) + 4v * (-3 + 5v)) = 0
((-3 * -6 + 5v * -6) + 4v * (-3 + 5v)) = 0
((18 + -30v) + 4v * (-3 + 5v)) = 0
(18 + -30v + (-3 * 4v + 5v * 4v)) = 0
(18 + -30v + (-12v + 20v2)) = 0

Combine like terms: -30v + -12v = -42v
(18 + -42v + 20v2) = 0

Solving
18 + -42v + 20v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '2'.
2(9 + -21v + 10v2) = 0

Factor a trinomial.
2((3 + -5v)(3 + -2v)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(3 + -5v)' equal to zero and attempt to solve:

Simplifying
3 + -5v = 0

Solving
3 + -5v = 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 + -5v = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -5v = 0 + -3
-5v = 0 + -3

Combine like terms: 0 + -3 = -3
-5v = -3

Divide each side by '-5'.
v = 0.6

Simplifying
v = 0.6
Subproblem 2
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
Solution
v = {0.6, 1.5}