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

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Solution for (7+v)(5v+3)=0 equation: 


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

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

Multiply (7 + v) * (3 + 5v)
(7(3 + 5v) + v(3 + 5v)) = 0
((3 * 7 + 5v * 7) + v(3 + 5v)) = 0
((21 + 35v) + v(3 + 5v)) = 0
(21 + 35v + (3 * v + 5v * v)) = 0
(21 + 35v + (3v + 5v2)) = 0

Combine like terms: 35v + 3v = 38v
(21 + 38v + 5v2) = 0

Solving
21 + 38v + 5v2 = 0

Solving for variable 'v'.

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


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

Simplifying
7 + v = 0

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

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

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

Simplifying
v = -7

Subproblem 2
Set the factor '(3 + 5v)' equal to zero and attempt to solve:

Simplifying
3 + 5v = 0

Solving
3 + 5v = 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 + 5v = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 5v = 0 + -3
5v = 0 + -3

Combine like terms: 0 + -3 = -3
5v = -3

Divide each side by '5'.
v = -0.6

Simplifying
v = -0.6
Solution
v = {-7, -0.6}

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