(8v+5)(3v-8)=0

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Solution for (8v+5)(3v-8)=0 equation: 


Simplifying
(8v + 5)(3v + -8) = 0

Reorder the terms:
(5 + 8v)(3v + -8) = 0

Reorder the terms:
(5 + 8v)(-8 + 3v) = 0

Multiply (5 + 8v) * (-8 + 3v)
(5(-8 + 3v) + 8v * (-8 + 3v)) = 0
((-8 * 5 + 3v * 5) + 8v * (-8 + 3v)) = 0
((-40 + 15v) + 8v * (-8 + 3v)) = 0
(-40 + 15v + (-8 * 8v + 3v * 8v)) = 0
(-40 + 15v + (-64v + 24v2)) = 0

Combine like terms: 15v + -64v = -49v
(-40 + -49v + 24v2) = 0

Solving
-40 + -49v + 24v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-5 + -8v)(8 + -3v) = 0


Subproblem 1
Set the factor '(-5 + -8v)' equal to zero and attempt to solve:

Simplifying
-5 + -8v = 0

Solving
-5 + -8v = 0

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

Add '5' to each side of the equation.
-5 + 5 + -8v = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -8v = 0 + 5
-8v = 0 + 5

Combine like terms: 0 + 5 = 5
-8v = 5

Divide each side by '-8'.
v = -0.625

Simplifying
v = -0.625

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 = {-0.625, 2.666666667}

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