(7+v)(5v+8)=0

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Solution for (7+v)(5v+8)=0 equation: 


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

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

Multiply (7 + v) * (8 + 5v)
(7(8 + 5v) + v(8 + 5v)) = 0
((8 * 7 + 5v * 7) + v(8 + 5v)) = 0
((56 + 35v) + v(8 + 5v)) = 0
(56 + 35v + (8 * v + 5v * v)) = 0
(56 + 35v + (8v + 5v2)) = 0

Combine like terms: 35v + 8v = 43v
(56 + 43v + 5v2) = 0

Solving
56 + 43v + 5v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(7 + v)(8 + 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 '(8 + 5v)' equal to zero and attempt to solve:

Simplifying
8 + 5v = 0

Solving
8 + 5v = 0

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

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

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

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

Divide each side by '5'.
v = -1.6

Simplifying
v = -1.6
Solution
v = {-7, -1.6}

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