(3v-7)(2-v)=0

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Solution for (3v-7)(2-v)=0 equation: 


Simplifying
(3v + -7)(2 + -1v) = 0

Reorder the terms:
(-7 + 3v)(2 + -1v) = 0

Multiply (-7 + 3v) * (2 + -1v)
(-7(2 + -1v) + 3v * (2 + -1v)) = 0
((2 * -7 + -1v * -7) + 3v * (2 + -1v)) = 0
((-14 + 7v) + 3v * (2 + -1v)) = 0
(-14 + 7v + (2 * 3v + -1v * 3v)) = 0
(-14 + 7v + (6v + -3v2)) = 0

Combine like terms: 7v + 6v = 13v
(-14 + 13v + -3v2) = 0

Solving
-14 + 13v + -3v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-7 + 3v)(2 + -1v) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(2 + -1v)' equal to zero and attempt to solve:

Simplifying
2 + -1v = 0

Solving
2 + -1v = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1v = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1v = 0 + -2
-1v = 0 + -2

Combine like terms: 0 + -2 = -2
-1v = -2

Divide each side by '-1'.
v = 2

Simplifying
v = 2
Solution
v = {2.333333333, 2}

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