(5v+9)(5-v)=0

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Solution for (5v+9)(5-v)=0 equation: 


Simplifying
(5v + 9)(5 + -1v) = 0

Reorder the terms:
(9 + 5v)(5 + -1v) = 0

Multiply (9 + 5v) * (5 + -1v)
(9(5 + -1v) + 5v * (5 + -1v)) = 0
((5 * 9 + -1v * 9) + 5v * (5 + -1v)) = 0
((45 + -9v) + 5v * (5 + -1v)) = 0
(45 + -9v + (5 * 5v + -1v * 5v)) = 0
(45 + -9v + (25v + -5v2)) = 0

Combine like terms: -9v + 25v = 16v
(45 + 16v + -5v2) = 0

Solving
45 + 16v + -5v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(5 + -1v)(9 + 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 '(9 + 5v)' equal to zero and attempt to solve:

Simplifying
9 + 5v = 0

Solving
9 + 5v = 0

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

Add '-9' to each side of the equation.
9 + -9 + 5v = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 5v = 0 + -9
5v = 0 + -9

Combine like terms: 0 + -9 = -9
5v = -9

Divide each side by '5'.
v = -1.8

Simplifying
v = -1.8
Solution
v = {5, -1.8}

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