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

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


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

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

Multiply (7 + -1v) * (-2 + 3v)
(7(-2 + 3v) + -1v * (-2 + 3v)) = 0
((-2 * 7 + 3v * 7) + -1v * (-2 + 3v)) = 0
((-14 + 21v) + -1v * (-2 + 3v)) = 0
(-14 + 21v + (-2 * -1v + 3v * -1v)) = 0
(-14 + 21v + (2v + -3v2)) = 0

Combine like terms: 21v + 2v = 23v
(-14 + 23v + -3v2) = 0

Solving
-14 + 23v + -3v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-7 + v)(2 + -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 '(2 + -3v)' equal to zero and attempt to solve:

Simplifying
2 + -3v = 0

Solving
2 + -3v = 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 + -3v = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3v = 0 + -2
-3v = 0 + -2

Combine like terms: 0 + -2 = -2
-3v = -2

Divide each side by '-3'.
v = 0.6666666667

Simplifying
v = 0.6666666667
Solution
v = {7, 0.6666666667}

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