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

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


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

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

Multiply (5 + -1v) * (-4 + 5v)
(5(-4 + 5v) + -1v * (-4 + 5v)) = 0
((-4 * 5 + 5v * 5) + -1v * (-4 + 5v)) = 0
((-20 + 25v) + -1v * (-4 + 5v)) = 0
(-20 + 25v + (-4 * -1v + 5v * -1v)) = 0
(-20 + 25v + (4v + -5v2)) = 0

Combine like terms: 25v + 4v = 29v
(-20 + 29v + -5v2) = 0

Solving
-20 + 29v + -5v2 = 0

Solving for variable 'v'.

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


Subproblem 1
Set the factor '(-5 + v)' equal to zero and attempt to solve:

Simplifying
-5 + v = 0

Solving
-5 + v = 0

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

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

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

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

Simplifying
v = 5

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 = {5, 0.8}

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