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

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


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

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

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

Combine like terms: 21v + -5v = 16v
(-35 + 16v + 3v2) = 0

Solving
-35 + 16v + 3v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-7 + -1v)(5 + -3v) = 0


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

Simplifying
-7 + -1v = 0

Solving
-7 + -1v = 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 + -1v = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -1v = 0 + 7
-1v = 0 + 7

Combine like terms: 0 + 7 = 7
-1v = 7

Divide each side by '-1'.
v = -7

Simplifying
v = -7

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

Simplifying
5 + -3v = 0

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

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

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

Divide each side by '-3'.
v = 1.666666667

Simplifying
v = 1.666666667
Solution
v = {-7, 1.666666667}

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