(11v+8)(3v-4)=0

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Solution for (11v+8)(3v-4)=0 equation: 


Simplifying
(11v + 8)(3v + -4) = 0

Reorder the terms:
(8 + 11v)(3v + -4) = 0

Reorder the terms:
(8 + 11v)(-4 + 3v) = 0

Multiply (8 + 11v) * (-4 + 3v)
(8(-4 + 3v) + 11v * (-4 + 3v)) = 0
((-4 * 8 + 3v * 8) + 11v * (-4 + 3v)) = 0
((-32 + 24v) + 11v * (-4 + 3v)) = 0
(-32 + 24v + (-4 * 11v + 3v * 11v)) = 0
(-32 + 24v + (-44v + 33v2)) = 0

Combine like terms: 24v + -44v = -20v
(-32 + -20v + 33v2) = 0

Solving
-32 + -20v + 33v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-8 + -11v)(4 + -3v) = 0


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 '(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 = {-0.7272727273, 1.333333333}

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