(7+v)(3v+4)=0

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Solution for (7+v)(3v+4)=0 equation: 


Simplifying
(7 + v)(3v + 4) = 0

Reorder the terms:
(7 + v)(4 + 3v) = 0

Multiply (7 + v) * (4 + 3v)
(7(4 + 3v) + v(4 + 3v)) = 0
((4 * 7 + 3v * 7) + v(4 + 3v)) = 0
((28 + 21v) + v(4 + 3v)) = 0
(28 + 21v + (4 * v + 3v * v)) = 0
(28 + 21v + (4v + 3v2)) = 0

Combine like terms: 21v + 4v = 25v
(28 + 25v + 3v2) = 0

Solving
28 + 25v + 3v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(7 + v)(4 + 3v) = 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 '(4 + 3v)' equal to zero and attempt to solve:

Simplifying
4 + 3v = 0

Solving
4 + 3v = 0

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

Add '-4' to each side of the equation.
4 + -4 + 3v = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 3v = 0 + -4
3v = 0 + -4

Combine like terms: 0 + -4 = -4
3v = -4

Divide each side by '3'.
v = -1.333333333

Simplifying
v = -1.333333333
Solution
v = {-7, -1.333333333}

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