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

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Solution for (8+v)(3v+7)=0 equation: 


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

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

Multiply (8 + v) * (7 + 3v)
(8(7 + 3v) + v(7 + 3v)) = 0
((7 * 8 + 3v * 8) + v(7 + 3v)) = 0
((56 + 24v) + v(7 + 3v)) = 0
(56 + 24v + (7 * v + 3v * v)) = 0
(56 + 24v + (7v + 3v2)) = 0

Combine like terms: 24v + 7v = 31v
(56 + 31v + 3v2) = 0

Solving
56 + 31v + 3v2 = 0

Solving for variable 'v'.

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


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

Simplifying
8 + v = 0

Solving
8 + v = 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 + v = 0 + -8

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

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

Simplifying
v = -8

Subproblem 2
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
Solution
v = {-8, -2.333333333}

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