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

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

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

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

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

Multiply (3 + 7v) * (1 + 8v)
(3(1 + 8v) + 7v * (1 + 8v)) = 0
((1 * 3 + 8v * 3) + 7v * (1 + 8v)) = 0
((3 + 24v) + 7v * (1 + 8v)) = 0
(3 + 24v + (1 * 7v + 8v * 7v)) = 0
(3 + 24v + (7v + 56v2)) = 0

Combine like terms: 24v + 7v = 31v
(3 + 31v + 56v2) = 0

Solving
3 + 31v + 56v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(3 + 7v)(1 + 8v) = 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 '(1 + 8v)' equal to zero and attempt to solve:

Simplifying
1 + 8v = 0

Solving
1 + 8v = 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 + 8v = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 8v = 0 + -1
8v = 0 + -1

Combine like terms: 0 + -1 = -1
8v = -1

Divide each side by '8'.
v = -0.125

Simplifying
v = -0.125
Solution
v = {-0.4285714286, -0.125}