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

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


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

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

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

Combine like terms: 25v + -4v = 21v
(-20 + 21v + 5v2) = 0

Solving
-20 + 21v + 5v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-5 + -1v)(4 + -5v) = 0


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

Simplifying
-5 + -1v = 0

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

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

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

Divide each side by '-1'.
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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