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

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


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

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

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

Multiply (8 + 5v) * (9 + 5v)
(8(9 + 5v) + 5v * (9 + 5v)) = 0
((9 * 8 + 5v * 8) + 5v * (9 + 5v)) = 0
((72 + 40v) + 5v * (9 + 5v)) = 0
(72 + 40v + (9 * 5v + 5v * 5v)) = 0
(72 + 40v + (45v + 25v2)) = 0

Combine like terms: 40v + 45v = 85v
(72 + 85v + 25v2) = 0

Solving
72 + 85v + 25v2 = 0

Solving for variable 'v'.

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


Subproblem 1
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

Subproblem 2
Set the factor '(8 + 5v)' equal to zero and attempt to solve:

Simplifying
8 + 5v = 0

Solving
8 + 5v = 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 + 5v = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 5v = 0 + -8
5v = 0 + -8

Combine like terms: 0 + -8 = -8
5v = -8

Divide each side by '5'.
v = -1.6

Simplifying
v = -1.6
Solution
v = {-1.8, -1.6}

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