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

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


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

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

Multiply (5 + v) * (7 + 5v)
(5(7 + 5v) + v(7 + 5v)) = 0
((7 * 5 + 5v * 5) + v(7 + 5v)) = 0
((35 + 25v) + v(7 + 5v)) = 0
(35 + 25v + (7 * v + 5v * v)) = 0
(35 + 25v + (7v + 5v2)) = 0

Combine like terms: 25v + 7v = 32v
(35 + 32v + 5v2) = 0

Solving
35 + 32v + 5v2 = 0

Solving for variable 'v'.

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


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

Simplifying
5 + v = 0

Solving
5 + v = 0

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

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

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

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

Simplifying
v = -5

Subproblem 2
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
Solution
v = {-5, -1.4}

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