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

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


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

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

Multiply (3 + -1v) * (-7 + 3v)
(3(-7 + 3v) + -1v * (-7 + 3v)) = 0
((-7 * 3 + 3v * 3) + -1v * (-7 + 3v)) = 0
((-21 + 9v) + -1v * (-7 + 3v)) = 0
(-21 + 9v + (-7 * -1v + 3v * -1v)) = 0
(-21 + 9v + (7v + -3v2)) = 0

Combine like terms: 9v + 7v = 16v
(-21 + 16v + -3v2) = 0

Solving
-21 + 16v + -3v2 = 0

Solving for variable 'v'.

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


Subproblem 1
Set the factor '(-3 + v)' equal to zero and attempt to solve:

Simplifying
-3 + v = 0

Solving
-3 + v = 0

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

Add '3' to each side of the equation.
-3 + 3 + v = 0 + 3

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

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

Simplifying
v = 3

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 = {3, 2.333333333}

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