(8-v)(5v-1)=0

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Solution for (8-v)(5v-1)=0 equation: 


Simplifying
(8 + -1v)(5v + -1) = 0

Reorder the terms:
(8 + -1v)(-1 + 5v) = 0

Multiply (8 + -1v) * (-1 + 5v)
(8(-1 + 5v) + -1v * (-1 + 5v)) = 0
((-1 * 8 + 5v * 8) + -1v * (-1 + 5v)) = 0
((-8 + 40v) + -1v * (-1 + 5v)) = 0
(-8 + 40v + (-1 * -1v + 5v * -1v)) = 0
(-8 + 40v + (1v + -5v2)) = 0

Combine like terms: 40v + 1v = 41v
(-8 + 41v + -5v2) = 0

Solving
-8 + 41v + -5v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-8 + v)(1 + -5v) = 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 + -5v)' equal to zero and attempt to solve:

Simplifying
1 + -5v = 0

Solving
1 + -5v = 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 + -5v = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -5v = 0 + -1
-5v = 0 + -1

Combine like terms: 0 + -1 = -1
-5v = -1

Divide each side by '-5'.
v = 0.2

Simplifying
v = 0.2
Solution
v = {8, 0.2}

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