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

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


Simplifying
(3v + -7)(5 + -1v) = 0

Reorder the terms:
(-7 + 3v)(5 + -1v) = 0

Multiply (-7 + 3v) * (5 + -1v)
(-7(5 + -1v) + 3v * (5 + -1v)) = 0
((5 * -7 + -1v * -7) + 3v * (5 + -1v)) = 0
((-35 + 7v) + 3v * (5 + -1v)) = 0
(-35 + 7v + (5 * 3v + -1v * 3v)) = 0
(-35 + 7v + (15v + -3v2)) = 0

Combine like terms: 7v + 15v = 22v
(-35 + 22v + -3v2) = 0

Solving
-35 + 22v + -3v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-5 + v)(7 + -3v) = 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 + -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 = {5, 2.333333333}

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