(11v+8)(3v-9)=0

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Solution for (11v+8)(3v-9)=0 equation: 


Simplifying
(11v + 8)(3v + -9) = 0

Reorder the terms:
(8 + 11v)(3v + -9) = 0

Reorder the terms:
(8 + 11v)(-9 + 3v) = 0

Multiply (8 + 11v) * (-9 + 3v)
(8(-9 + 3v) + 11v * (-9 + 3v)) = 0
((-9 * 8 + 3v * 8) + 11v * (-9 + 3v)) = 0
((-72 + 24v) + 11v * (-9 + 3v)) = 0
(-72 + 24v + (-9 * 11v + 3v * 11v)) = 0
(-72 + 24v + (-99v + 33v2)) = 0

Combine like terms: 24v + -99v = -75v
(-72 + -75v + 33v2) = 0

Solving
-72 + -75v + 33v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-24 + -25v + 11v2) = 0

Factor a trinomial.
3((-8 + -11v)(3 + -1v)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-8 + -11v)' equal to zero and attempt to solve:

Simplifying
-8 + -11v = 0

Solving
-8 + -11v = 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 + -11v = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -11v = 0 + 8
-11v = 0 + 8

Combine like terms: 0 + 8 = 8
-11v = 8

Divide each side by '-11'.
v = -0.7272727273

Simplifying
v = -0.7272727273

Subproblem 2
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
Solution
v = {-0.7272727273, 3}

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