(7v-3)(8v+5)=

Solution for (7v-3)(8v+5)= equation:

Simplifying
(7v + -3)(8v + 5) = 0

Reorder the terms:
(-3 + 7v)(8v + 5) = 0

Reorder the terms:
(-3 + 7v)(5 + 8v) = 0

Multiply (-3 + 7v) * (5 + 8v)
(-3(5 + 8v) + 7v * (5 + 8v)) = 0
((5 * -3 + 8v * -3) + 7v * (5 + 8v)) = 0
((-15 + -24v) + 7v * (5 + 8v)) = 0
(-15 + -24v + (5 * 7v + 8v * 7v)) = 0
(-15 + -24v + (35v + 56v2)) = 0

Combine like terms: -24v + 35v = 11v
(-15 + 11v + 56v2) = 0

Solving
-15 + 11v + 56v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-5 + -8v)(3 + -7v) = 0

Subproblem 1
Set the factor '(-5 + -8v)' equal to zero and attempt to solve:

Simplifying
-5 + -8v = 0

Solving
-5 + -8v = 0

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

Add '5' to each side of the equation.
-5 + 5 + -8v = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -8v = 0 + 5
-8v = 0 + 5

Combine like terms: 0 + 5 = 5
-8v = 5

Divide each side by '-8'.
v = -0.625

Simplifying
v = -0.625
Subproblem 2
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
Solution
v = {-0.625, 0.4285714286}