(3v-4)(9+v)=0

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Solution for (3v-4)(9+v)=0 equation: 


Simplifying
(3v + -4)(9 + v) = 0

Reorder the terms:
(-4 + 3v)(9 + v) = 0

Multiply (-4 + 3v) * (9 + v)
(-4(9 + v) + 3v * (9 + v)) = 0
((9 * -4 + v * -4) + 3v * (9 + v)) = 0
((-36 + -4v) + 3v * (9 + v)) = 0
(-36 + -4v + (9 * 3v + v * 3v)) = 0
(-36 + -4v + (27v + 3v2)) = 0

Combine like terms: -4v + 27v = 23v
(-36 + 23v + 3v2) = 0

Solving
-36 + 23v + 3v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-9 + -1v)(4 + -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 '(4 + -3v)' equal to zero and attempt to solve:

Simplifying
4 + -3v = 0

Solving
4 + -3v = 0

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

Add '-4' to each side of the equation.
4 + -4 + -3v = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3v = 0 + -4
-3v = 0 + -4

Combine like terms: 0 + -4 = -4
-3v = -4

Divide each side by '-3'.
v = 1.333333333

Simplifying
v = 1.333333333
Solution
v = {-9, 1.333333333}

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