(2v+3)(v-8)=0

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Solution for (2v+3)(v-8)=0 equation: 


Simplifying
(2v + 3)(v + -8) = 0

Reorder the terms:
(3 + 2v)(v + -8) = 0

Reorder the terms:
(3 + 2v)(-8 + v) = 0

Multiply (3 + 2v) * (-8 + v)
(3(-8 + v) + 2v * (-8 + v)) = 0
((-8 * 3 + v * 3) + 2v * (-8 + v)) = 0
((-24 + 3v) + 2v * (-8 + v)) = 0
(-24 + 3v + (-8 * 2v + v * 2v)) = 0
(-24 + 3v + (-16v + 2v2)) = 0

Combine like terms: 3v + -16v = -13v
(-24 + -13v + 2v2) = 0

Solving
-24 + -13v + 2v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-3 + -2v)(8 + -1v) = 0


Subproblem 1
Set the factor '(-3 + -2v)' equal to zero and attempt to solve:

Simplifying
-3 + -2v = 0

Solving
-3 + -2v = 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 + -2v = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -2v = 0 + 3
-2v = 0 + 3

Combine like terms: 0 + 3 = 3
-2v = 3

Divide each side by '-2'.
v = -1.5

Simplifying
v = -1.5

Subproblem 2
Set the factor '(8 + -1v)' equal to zero and attempt to solve:

Simplifying
8 + -1v = 0

Solving
8 + -1v = 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 + -1v = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1v = 0 + -8
-1v = 0 + -8

Combine like terms: 0 + -8 = -8
-1v = -8

Divide each side by '-1'.
v = 8

Simplifying
v = 8
Solution
v = {-1.5, 8}

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