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

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


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

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

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

Combine like terms: 1v + 40v = 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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