(8-v)(5v-4)=0

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Solution for (8-v)(5v-4)=0 equation: 


Simplifying
(8 + -1v)(5v + -4) = 0

Reorder the terms:
(8 + -1v)(-4 + 5v) = 0

Multiply (8 + -1v) * (-4 + 5v)
(8(-4 + 5v) + -1v * (-4 + 5v)) = 0
((-4 * 8 + 5v * 8) + -1v * (-4 + 5v)) = 0
((-32 + 40v) + -1v * (-4 + 5v)) = 0
(-32 + 40v + (-4 * -1v + 5v * -1v)) = 0
(-32 + 40v + (4v + -5v2)) = 0

Combine like terms: 40v + 4v = 44v
(-32 + 44v + -5v2) = 0

Solving
-32 + 44v + -5v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-8 + v)(4 + -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 '(4 + -5v)' equal to zero and attempt to solve:

Simplifying
4 + -5v = 0

Solving
4 + -5v = 0

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

Add '-4' to each side of the equation.
4 + -4 + -5v = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -5v = 0 + -4
-5v = 0 + -4

Combine like terms: 0 + -4 = -4
-5v = -4

Divide each side by '-5'.
v = 0.8

Simplifying
v = 0.8
Solution
v = {8, 0.8}

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