A(r)=r^2

Solution for A(r)=r^2 equation:

Simplifying
A(r) = r2

Multiply A * r
rA = r2

Solving
rA = r2

Solving for variable 'r'.

Combine like terms: r2 + -1r2 = 0
rA + -1r2 = 0

Factor out the Greatest Common Factor (GCF), 'r'.
r(A + -1r) = 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 '(A + -1r)' equal to zero and attempt to solve:

Simplifying
A + -1r = 0

Solving
A + -1r = 0

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

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

Combine like terms: A + -1A = 0
0 + -1r = 0 + -1A
-1r = 0 + -1A
Remove the zero:
-1r = -1A

Divide each side by '-1'.
r = A

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