5*v^2=8*v

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Solution for 5*v^2=8*v equation: 


Simplifying
5v2 = 8v

Solving
5v2 = 8v

Solving for variable 'v'.

Reorder the terms:
-8v + 5v2 = 8v + -8v

Combine like terms: 8v + -8v = 0
-8v + 5v2 = 0

Factor out the Greatest Common Factor (GCF), 'v'.
v(-8 + 5v) = 0


Subproblem 1
Set the factor 'v' equal to zero and attempt to solve:

Simplifying
v = 0

Solving
v = 0

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

Simplifying
v = 0

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 = {0, 1.6}

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