(v-3)(2v+1)=

Solution for (v-3)(2v+1)= equation:

Simplifying
(v + -3)(2v + 1) = 0

Reorder the terms:
(-3 + v)(2v + 1) = 0

Reorder the terms:
(-3 + v)(1 + 2v) = 0

Multiply (-3 + v) * (1 + 2v)
(-3(1 + 2v) + v(1 + 2v)) = 0
((1 * -3 + 2v * -3) + v(1 + 2v)) = 0
((-3 + -6v) + v(1 + 2v)) = 0
(-3 + -6v + (1 * v + 2v * v)) = 0
(-3 + -6v + (1v + 2v2)) = 0

Combine like terms: -6v + 1v = -5v
(-3 + -5v + 2v2) = 0

Solving
-3 + -5v + 2v2 = 0

Solving for variable 'v'.

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

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

Simplifying
-1 + -2v = 0

Solving
-1 + -2v = 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 + -2v = 0 + 1

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

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

Divide each side by '-2'.
v = -0.5

Simplifying
v = -0.5
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 = {-0.5, 3}