(r-s)(r-s)=

Solution for (r-s)(r-s)= equation:

Simplifying
(r + -1s)(r + -1s) = 0

Multiply (r + -1s) * (r + -1s)
(r(r + -1s) + -1s * (r + -1s)) = 0
((r * r + -1s * r) + -1s * (r + -1s)) = 0

Reorder the terms:
((-1rs + r2) + -1s * (r + -1s)) = 0
((-1rs + r2) + -1s * (r + -1s)) = 0
(-1rs + r2 + (r * -1s + -1s * -1s)) = 0
(-1rs + r2 + (-1rs + 1s2)) = 0

Reorder the terms:
(-1rs + -1rs + r2 + 1s2) = 0

Combine like terms: -1rs + -1rs = -2rs
(-2rs + r2 + 1s2) = 0

Solving
-2rs + r2 + 1s2 = 0

Solving for variable 'r'.

Factor a trinomial.
(r + -1s)(r + -1s) = 0

Subproblem 1
Set the factor '(r + -1s)' equal to zero and attempt to solve:

Simplifying
r + -1s = 0

Solving
r + -1s = 0

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

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

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

Simplifying
r = s
Subproblem 2
Set the factor '(r + -1s)' equal to zero and attempt to solve:

Simplifying
r + -1s = 0

Solving
r + -1s = 0

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

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

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

Simplifying
r = s
Solution
r = {s, s}