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

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


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

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

Multiply (-2 + 5v) * (8 + v)
(-2(8 + v) + 5v * (8 + v)) = 0
((8 * -2 + v * -2) + 5v * (8 + v)) = 0
((-16 + -2v) + 5v * (8 + v)) = 0
(-16 + -2v + (8 * 5v + v * 5v)) = 0
(-16 + -2v + (40v + 5v2)) = 0

Combine like terms: -2v + 40v = 38v
(-16 + 38v + 5v2) = 0

Solving
-16 + 38v + 5v2 = 0

Solving for variable 'v'.

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


Subproblem 1
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

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

Simplifying
2 + -5v = 0

Solving
2 + -5v = 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 + -5v = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -5v = 0 + -2
-5v = 0 + -2

Combine like terms: 0 + -2 = -2
-5v = -2

Divide each side by '-5'.
v = 0.4

Simplifying
v = 0.4
Solution
v = {-8, 0.4}

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