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

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Solution for (9+v)(5v-1)=0 equation: 


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

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

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

Combine like terms: 45v + -1v = 44v
(-9 + 44v + 5v2) = 0

Solving
-9 + 44v + 5v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-9 + -1v)(1 + -5v) = 0


Subproblem 1
Set the factor '(-9 + -1v)' equal to zero and attempt to solve:

Simplifying
-9 + -1v = 0

Solving
-9 + -1v = 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 + -1v = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -1v = 0 + 9
-1v = 0 + 9

Combine like terms: 0 + 9 = 9
-1v = 9

Divide each side by '-1'.
v = -9

Simplifying
v = -9

Subproblem 2
Set the factor '(1 + -5v)' equal to zero and attempt to solve:

Simplifying
1 + -5v = 0

Solving
1 + -5v = 0

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

Add '-1' to each side of the equation.
1 + -1 + -5v = 0 + -1

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

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

Divide each side by '-5'.
v = 0.2

Simplifying
v = 0.2
Solution
v = {-9, 0.2}

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