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

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


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

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

Multiply (3 + v) * (-8 + 3v)
(3(-8 + 3v) + v(-8 + 3v)) = 0
((-8 * 3 + 3v * 3) + v(-8 + 3v)) = 0
((-24 + 9v) + v(-8 + 3v)) = 0
(-24 + 9v + (-8 * v + 3v * v)) = 0
(-24 + 9v + (-8v + 3v2)) = 0

Combine like terms: 9v + -8v = 1v
(-24 + 1v + 3v2) = 0

Solving
-24 + 1v + 3v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-3 + -1v)(8 + -3v) = 0


Subproblem 1
Set the factor '(-3 + -1v)' equal to zero and attempt to solve:

Simplifying
-3 + -1v = 0

Solving
-3 + -1v = 0

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

Add '3' to each side of the equation.
-3 + 3 + -1v = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1v = 0 + 3
-1v = 0 + 3

Combine like terms: 0 + 3 = 3
-1v = 3

Divide each side by '-1'.
v = -3

Simplifying
v = -3

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 = {-3, 2.666666667}

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