(7v-1)(8v+3)=

Solution for (7v-1)(8v+3)= equation:

Simplifying
(7v + -1)(8v + 3) = 0

Reorder the terms:
(-1 + 7v)(8v + 3) = 0

Reorder the terms:
(-1 + 7v)(3 + 8v) = 0

Multiply (-1 + 7v) * (3 + 8v)
(-1(3 + 8v) + 7v * (3 + 8v)) = 0
((3 * -1 + 8v * -1) + 7v * (3 + 8v)) = 0
((-3 + -8v) + 7v * (3 + 8v)) = 0
(-3 + -8v + (3 * 7v + 8v * 7v)) = 0
(-3 + -8v + (21v + 56v2)) = 0

Combine like terms: -8v + 21v = 13v
(-3 + 13v + 56v2) = 0

Solving
-3 + 13v + 56v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-3 + -8v)(1 + -7v) = 0

Subproblem 1
Set the factor '(-3 + -8v)' equal to zero and attempt to solve:

Simplifying
-3 + -8v = 0

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

Combine like terms: -3 + 3 = 0
0 + -8v = 0 + 3
-8v = 0 + 3

Combine like terms: 0 + 3 = 3
-8v = 3

Divide each side by '-8'.
v = -0.375

Simplifying
v = -0.375
Subproblem 2
Set the factor '(1 + -7v)' equal to zero and attempt to solve:

Simplifying
1 + -7v = 0

Solving
1 + -7v = 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 + -7v = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -7v = 0 + -1
-7v = 0 + -1

Combine like terms: 0 + -1 = -1
-7v = -1

Divide each side by '-7'.
v = 0.1428571429

Simplifying
v = 0.1428571429
Solution
v = {-0.375, 0.1428571429}