(3v-2)(9+v)=0

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Solution for (3v-2)(9+v)=0 equation: 


Simplifying
(3v + -2)(9 + v) = 0

Reorder the terms:
(-2 + 3v)(9 + v) = 0

Multiply (-2 + 3v) * (9 + v)
(-2(9 + v) + 3v * (9 + v)) = 0
((9 * -2 + v * -2) + 3v * (9 + v)) = 0
((-18 + -2v) + 3v * (9 + v)) = 0
(-18 + -2v + (9 * 3v + v * 3v)) = 0
(-18 + -2v + (27v + 3v2)) = 0

Combine like terms: -2v + 27v = 25v
(-18 + 25v + 3v2) = 0

Solving
-18 + 25v + 3v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-9 + -1v)(2 + -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 '(2 + -3v)' equal to zero and attempt to solve:

Simplifying
2 + -3v = 0

Solving
2 + -3v = 0

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

Add '-2' to each side of the equation.
2 + -2 + -3v = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3v = 0 + -2
-3v = 0 + -2

Combine like terms: 0 + -2 = -2
-3v = -2

Divide each side by '-3'.
v = 0.6666666667

Simplifying
v = 0.6666666667
Solution
v = {-9, 0.6666666667}

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