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

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Solution for (2+v)(5v-8)=0 equation: 


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

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

Multiply (2 + v) * (-8 + 5v)
(2(-8 + 5v) + v(-8 + 5v)) = 0
((-8 * 2 + 5v * 2) + v(-8 + 5v)) = 0
((-16 + 10v) + v(-8 + 5v)) = 0
(-16 + 10v + (-8 * v + 5v * v)) = 0
(-16 + 10v + (-8v + 5v2)) = 0

Combine like terms: 10v + -8v = 2v
(-16 + 2v + 5v2) = 0

Solving
-16 + 2v + 5v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-2 + -1v)(8 + -5v) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(8 + -5v)' equal to zero and attempt to solve:

Simplifying
8 + -5v = 0

Solving
8 + -5v = 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 + -5v = 0 + -8

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

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

Divide each side by '-5'.
v = 1.6

Simplifying
v = 1.6
Solution
v = {-2, 1.6}

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