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

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


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

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

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

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

Combine like terms: -5v + -16v = -21v
(10 + -21v + 8v2) = 0

Solving
10 + -21v + 8v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(5 + -8v)(2 + -1v) = 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 '(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 = {0.625, 2}

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