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

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


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

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

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

Multiply (-8 + 5v) * (-5 + 2v)
(-8(-5 + 2v) + 5v * (-5 + 2v)) = 0
((-5 * -8 + 2v * -8) + 5v * (-5 + 2v)) = 0
((40 + -16v) + 5v * (-5 + 2v)) = 0
(40 + -16v + (-5 * 5v + 2v * 5v)) = 0
(40 + -16v + (-25v + 10v2)) = 0

Combine like terms: -16v + -25v = -41v
(40 + -41v + 10v2) = 0

Solving
40 + -41v + 10v2 = 0

Solving for variable 'v'.

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


Subproblem 1
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

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

Simplifying
5 + -2v = 0

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

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

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

Divide each side by '-2'.
v = 2.5

Simplifying
v = 2.5
Solution
v = {1.6, 2.5}

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