(v-2)(3v+4)=0

Solution for (v-2)(3v+4)=0 equation:

Simplifying
(v + -2)(3v + 4) = 0

Reorder the terms:
(-2 + v)(3v + 4) = 0

Reorder the terms:
(-2 + v)(4 + 3v) = 0

Multiply (-2 + v) * (4 + 3v)
(-2(4 + 3v) + v(4 + 3v)) = 0
((4 * -2 + 3v * -2) + v(4 + 3v)) = 0
((-8 + -6v) + v(4 + 3v)) = 0
(-8 + -6v + (4 * v + 3v * v)) = 0
(-8 + -6v + (4v + 3v2)) = 0

Combine like terms: -6v + 4v = -2v
(-8 + -2v + 3v2) = 0

Solving
-8 + -2v + 3v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-4 + -3v)(2 + -1v) = 0

Subproblem 1
Set the factor '(-4 + -3v)' equal to zero and attempt to solve:

Simplifying
-4 + -3v = 0

Solving
-4 + -3v = 0

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

Add '4' to each side of the equation.
-4 + 4 + -3v = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -3v = 0 + 4
-3v = 0 + 4

Combine like terms: 0 + 4 = 4
-3v = 4

Divide each side by '-3'.
v = -1.333333333

Simplifying
v = -1.333333333
Subproblem 2
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
Solution
v = {-1.333333333, 2}