(3v+7)(6v+5)=

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Solution for (3v+7)(6v+5)= equation: 


Simplifying
(3v + 7)(6v + 5) = 0

Reorder the terms:
(7 + 3v)(6v + 5) = 0

Reorder the terms:
(7 + 3v)(5 + 6v) = 0

Multiply (7 + 3v) * (5 + 6v)
(7(5 + 6v) + 3v * (5 + 6v)) = 0
((5 * 7 + 6v * 7) + 3v * (5 + 6v)) = 0
((35 + 42v) + 3v * (5 + 6v)) = 0
(35 + 42v + (5 * 3v + 6v * 3v)) = 0
(35 + 42v + (15v + 18v2)) = 0

Combine like terms: 42v + 15v = 57v
(35 + 57v + 18v2) = 0

Solving
35 + 57v + 18v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(7 + 3v)(5 + 6v) = 0


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

Simplifying
7 + 3v = 0

Solving
7 + 3v = 0

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

Add '-7' to each side of the equation.
7 + -7 + 3v = 0 + -7

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

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

Divide each side by '3'.
v = -2.333333333

Simplifying
v = -2.333333333

Subproblem 2
Set the factor '(5 + 6v)' equal to zero and attempt to solve:

Simplifying
5 + 6v = 0

Solving
5 + 6v = 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 + 6v = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 6v = 0 + -5
6v = 0 + -5

Combine like terms: 0 + -5 = -5
6v = -5

Divide each side by '6'.
v = -0.8333333333

Simplifying
v = -0.8333333333
Solution
v = {-2.333333333, -0.8333333333}

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