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

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


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

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

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

Multiply (8 + 3v) * (-2 + v)
(8(-2 + v) + 3v * (-2 + v)) = 0
((-2 * 8 + v * 8) + 3v * (-2 + v)) = 0
((-16 + 8v) + 3v * (-2 + v)) = 0
(-16 + 8v + (-2 * 3v + v * 3v)) = 0
(-16 + 8v + (-6v + 3v2)) = 0

Combine like terms: 8v + -6v = 2v
(-16 + 2v + 3v2) = 0

Solving
-16 + 2v + 3v2 = 0

Solving for variable 'v'.

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


Subproblem 1
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

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

Simplifying
2 + -1v = 0

Solving
2 + -1v = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1v = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1v = 0 + -2
-1v = 0 + -2

Combine like terms: 0 + -2 = -2
-1v = -2

Divide each side by '-1'.
v = 2

Simplifying
v = 2
Solution
v = {-2.666666667, 2}

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