(5v+7)(3v+1)=

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Solution for (5v+7)(3v+1)= equation: 


Simplifying
(5v + 7)(3v + 1) = 0

Reorder the terms:
(7 + 5v)(3v + 1) = 0

Reorder the terms:
(7 + 5v)(1 + 3v) = 0

Multiply (7 + 5v) * (1 + 3v)
(7(1 + 3v) + 5v * (1 + 3v)) = 0
((1 * 7 + 3v * 7) + 5v * (1 + 3v)) = 0
((7 + 21v) + 5v * (1 + 3v)) = 0
(7 + 21v + (1 * 5v + 3v * 5v)) = 0
(7 + 21v + (5v + 15v2)) = 0

Combine like terms: 21v + 5v = 26v
(7 + 26v + 15v2) = 0

Solving
7 + 26v + 15v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(7 + 5v)(1 + 3v) = 0


Subproblem 1
Set the factor '(7 + 5v)' equal to zero and attempt to solve:

Simplifying
7 + 5v = 0

Solving
7 + 5v = 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 + 5v = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 5v = 0 + -7
5v = 0 + -7

Combine like terms: 0 + -7 = -7
5v = -7

Divide each side by '5'.
v = -1.4

Simplifying
v = -1.4

Subproblem 2
Set the factor '(1 + 3v)' equal to zero and attempt to solve:

Simplifying
1 + 3v = 0

Solving
1 + 3v = 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 + 3v = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 3v = 0 + -1
3v = 0 + -1

Combine like terms: 0 + -1 = -1
3v = -1

Divide each side by '3'.
v = -0.3333333333

Simplifying
v = -0.3333333333
Solution
v = {-1.4, -0.3333333333}

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