(5v-9)(8+v)=0

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Solution for (5v-9)(8+v)=0 equation: 


Simplifying
(5v + -9)(8 + v) = 0

Reorder the terms:
(-9 + 5v)(8 + v) = 0

Multiply (-9 + 5v) * (8 + v)
(-9(8 + v) + 5v * (8 + v)) = 0
((8 * -9 + v * -9) + 5v * (8 + v)) = 0
((-72 + -9v) + 5v * (8 + v)) = 0
(-72 + -9v + (8 * 5v + v * 5v)) = 0
(-72 + -9v + (40v + 5v2)) = 0

Combine like terms: -9v + 40v = 31v
(-72 + 31v + 5v2) = 0

Solving
-72 + 31v + 5v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-8 + -1v)(9 + -5v) = 0


Subproblem 1
Set the factor '(-8 + -1v)' equal to zero and attempt to solve:

Simplifying
-8 + -1v = 0

Solving
-8 + -1v = 0

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

Add '8' to each side of the equation.
-8 + 8 + -1v = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1v = 0 + 8
-1v = 0 + 8

Combine like terms: 0 + 8 = 8
-1v = 8

Divide each side by '-1'.
v = -8

Simplifying
v = -8

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 = {-8, 1.8}

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