(8-v)(3v-1)=0

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Solution for (8-v)(3v-1)=0 equation: 


Simplifying
(8 + -1v)(3v + -1) = 0

Reorder the terms:
(8 + -1v)(-1 + 3v) = 0

Multiply (8 + -1v) * (-1 + 3v)
(8(-1 + 3v) + -1v * (-1 + 3v)) = 0
((-1 * 8 + 3v * 8) + -1v * (-1 + 3v)) = 0
((-8 + 24v) + -1v * (-1 + 3v)) = 0
(-8 + 24v + (-1 * -1v + 3v * -1v)) = 0
(-8 + 24v + (1v + -3v2)) = 0

Combine like terms: 24v + 1v = 25v
(-8 + 25v + -3v2) = 0

Solving
-8 + 25v + -3v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-8 + v)(1 + -3v) = 0


Subproblem 1
Set the factor '(-8 + v)' equal to zero and attempt to solve:

Simplifying
-8 + v = 0

Solving
-8 + v = 0

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

Add '8' to each side of the equation.
-8 + 8 + v = 0 + 8

Combine like terms: -8 + 8 = 0
0 + v = 0 + 8
v = 0 + 8

Combine like terms: 0 + 8 = 8
v = 8

Simplifying
v = 8

Subproblem 2
Set the factor '(1 + -3v)' equal to zero and attempt to solve:

Simplifying
1 + -3v = 0

Solving
1 + -3v = 0

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

Add '-1' to each side of the equation.
1 + -1 + -3v = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3v = 0 + -1
-3v = 0 + -1

Combine like terms: 0 + -1 = -1
-3v = -1

Divide each side by '-3'.
v = 0.3333333333

Simplifying
v = 0.3333333333
Solution
v = {8, 0.3333333333}

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