(7v+3)(4v-3)=0

Solution for (7v+3)(4v-3)=0 equation:

Simplifying
(7v + 3)(4v + -3) = 0

Reorder the terms:
(3 + 7v)(4v + -3) = 0

Reorder the terms:
(3 + 7v)(-3 + 4v) = 0

Multiply (3 + 7v) * (-3 + 4v)
(3(-3 + 4v) + 7v * (-3 + 4v)) = 0
((-3 * 3 + 4v * 3) + 7v * (-3 + 4v)) = 0
((-9 + 12v) + 7v * (-3 + 4v)) = 0
(-9 + 12v + (-3 * 7v + 4v * 7v)) = 0
(-9 + 12v + (-21v + 28v2)) = 0

Combine like terms: 12v + -21v = -9v
(-9 + -9v + 28v2) = 0

Solving
-9 + -9v + 28v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-3 + -7v)(3 + -4v) = 0

Subproblem 1
Set the factor '(-3 + -7v)' equal to zero and attempt to solve:

Simplifying
-3 + -7v = 0

Solving
-3 + -7v = 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 + -7v = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -7v = 0 + 3
-7v = 0 + 3

Combine like terms: 0 + 3 = 3
-7v = 3

Divide each side by '-7'.
v = -0.4285714286

Simplifying
v = -0.4285714286
Subproblem 2
Set the factor '(3 + -4v)' equal to zero and attempt to solve:

Simplifying
3 + -4v = 0

Solving
3 + -4v = 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 + -4v = 0 + -3

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

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

Divide each side by '-4'.
v = 0.75

Simplifying
v = 0.75
Solution
v = {-0.4285714286, 0.75}