(3v-8)(9+v)=0

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Solution for (3v-8)(9+v)=0 equation: 


Simplifying
(3v + -8)(9 + v) = 0

Reorder the terms:
(-8 + 3v)(9 + v) = 0

Multiply (-8 + 3v) * (9 + v)
(-8(9 + v) + 3v * (9 + v)) = 0
((9 * -8 + v * -8) + 3v * (9 + v)) = 0
((-72 + -8v) + 3v * (9 + v)) = 0
(-72 + -8v + (9 * 3v + v * 3v)) = 0
(-72 + -8v + (27v + 3v2)) = 0

Combine like terms: -8v + 27v = 19v
(-72 + 19v + 3v2) = 0

Solving
-72 + 19v + 3v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-9 + -1v)(8 + -3v) = 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 '(8 + -3v)' equal to zero and attempt to solve:

Simplifying
8 + -3v = 0

Solving
8 + -3v = 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 + -3v = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -3v = 0 + -8
-3v = 0 + -8

Combine like terms: 0 + -8 = -8
-3v = -8

Divide each side by '-3'.
v = 2.666666667

Simplifying
v = 2.666666667
Solution
v = {-9, 2.666666667}

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