(5v-4)(2-v)=0

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Solution for (5v-4)(2-v)=0 equation: 


Simplifying
(5v + -4)(2 + -1v) = 0

Reorder the terms:
(-4 + 5v)(2 + -1v) = 0

Multiply (-4 + 5v) * (2 + -1v)
(-4(2 + -1v) + 5v * (2 + -1v)) = 0
((2 * -4 + -1v * -4) + 5v * (2 + -1v)) = 0
((-8 + 4v) + 5v * (2 + -1v)) = 0
(-8 + 4v + (2 * 5v + -1v * 5v)) = 0
(-8 + 4v + (10v + -5v2)) = 0

Combine like terms: 4v + 10v = 14v
(-8 + 14v + -5v2) = 0

Solving
-8 + 14v + -5v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-2 + v)(4 + -5v) = 0


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

Simplifying
-2 + v = 0

Solving
-2 + v = 0

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

Add '2' to each side of the equation.
-2 + 2 + v = 0 + 2

Combine like terms: -2 + 2 = 0
0 + v = 0 + 2
v = 0 + 2

Combine like terms: 0 + 2 = 2
v = 2

Simplifying
v = 2

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 = {2, 0.8}

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