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

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

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

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

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

Multiply (-4 + 3v) * (6 + 4v)
(-4(6 + 4v) + 3v * (6 + 4v)) = 0
((6 * -4 + 4v * -4) + 3v * (6 + 4v)) = 0
((-24 + -16v) + 3v * (6 + 4v)) = 0
(-24 + -16v + (6 * 3v + 4v * 3v)) = 0
(-24 + -16v + (18v + 12v2)) = 0

Combine like terms: -16v + 18v = 2v
(-24 + 2v + 12v2) = 0

Solving
-24 + 2v + 12v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-12 + v + 6v2) = 0

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

Ignore the factor 2.
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 '(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
Solution
v = {-1.5, 1.333333333}