20r^2=5r

Solution for 20r^2=5r equation:

Simplifying
20r2 = 5r

Solving
20r2 = 5r

Solving for variable 'r'.

Reorder the terms:
-5r + 20r2 = 5r + -5r

Combine like terms: 5r + -5r = 0
-5r + 20r2 = 0

Factor out the Greatest Common Factor (GCF), '5r'.
5r(-1 + 4r) = 0

Ignore the factor 5.
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 '(-1 + 4r)' equal to zero and attempt to solve:

Simplifying
-1 + 4r = 0

Solving
-1 + 4r = 0

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

Add '1' to each side of the equation.
-1 + 1 + 4r = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 4r = 0 + 1
4r = 0 + 1

Combine like terms: 0 + 1 = 1
4r = 1

Divide each side by '4'.
r = 0.25

Simplifying
r = 0.25
Solution
r = {0, 0.25}