r(r-25)2=

Solution for r(r-25)2= equation:

Simplifying
r(r + -25) * 2 = 0

Reorder the terms:
r(-25 + r) * 2 = 0

Reorder the terms for easier multiplication:
2r(-25 + r) = 0
(-25 * 2r + r * 2r) = 0
(-50r + 2r2) = 0

Solving
-50r + 2r2 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), '2r'.
2r(-25 + r) = 0

Ignore the factor 2.
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 '(-25 + r)' equal to zero and attempt to solve:

Simplifying
-25 + r = 0

Solving
-25 + r = 0

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

Add '25' to each side of the equation.
-25 + 25 + r = 0 + 25

Combine like terms: -25 + 25 = 0
0 + r = 0 + 25
r = 0 + 25

Combine like terms: 0 + 25 = 25
r = 25

Simplifying
r = 25
Solution
r = {0, 25}