(-r+s)(-r-s)=

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

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

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

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

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

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

Solving
1r2 + -1s2 = 0

Solving for variable 'r'.

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

Add 's2' to each side of the equation.
1r2 + -1s2 + s2 = 0 + s2

Combine like terms: -1s2 + s2 = 0
1r2 + 0 = 0 + s2
1r2 = 0 + s2
Remove the zero:
1r2 = s2

Divide each side by '1'.
r2 = s2

Simplifying
r2 = s2

Take the square root of each side:
r = {-1s, s}