4v^2r-25vr+25r=0

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Solution for 4v^2r-25vr+25r=0 equation: 


Simplifying
4v2r + -25vr + 25r = 0

Reorder the terms:
25r + -25rv + 4rv2 = 0

Solving
25r + -25rv + 4rv2 = 0

Solving for variable 'r'.

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

Factor out the Greatest Common Factor (GCF), 'r'.
r(25 + -25v + 4v2) = 0

Factor a trinomial.
r((5 + -4v)(5 + -1v)) = 0


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

Simplifying
r = 0

Solving
r = 0

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

Simplifying
r = 0

Subproblem 2
Set the factor '(5 + -4v)' equal to zero and attempt to solve:

Simplifying
5 + -4v = 0

Solving
5 + -4v = 0

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

Add '-5' to each side of the equation.
5 + -5 + -4v = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -4v = 0 + -5
-4v = 0 + -5

Combine like terms: 0 + -5 = -5
-4v = -5

Add '4v' to each side of the equation.
-4v + 4v = -5 + 4v

Combine like terms: -4v + 4v = 0
0 = -5 + 4v

Simplifying
0 = -5 + 4v

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 3
Set the factor '(5 + -1v)' equal to zero and attempt to solve:

Simplifying
5 + -1v = 0

Solving
5 + -1v = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1v = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1v = 0 + -5
-1v = 0 + -5

Combine like terms: 0 + -5 = -5
-1v = -5

Add 'v' to each side of the equation.
-1v + v = -5 + v

Combine like terms: -1v + v = 0
0 = -5 + v

Simplifying
0 = -5 + v

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
r = {0}

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