0=[(9r-s)+2][(9r-s)-2]

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Solution for 0=[(9r-s)+2][(9r-s)-2] equation: 


Simplifying
0 = [(9r + -1s) + 2][(9r + -1s) + -2]

Remove parenthesis around (9r + -1s)
0 = [9r + -1s + 2][(9r + -1s) + -2]

Reorder the terms:
0 = [2 + 9r + -1s][(9r + -1s) + -2]

Remove parenthesis around (9r + -1s)
0 = [2 + 9r + -1s][9r + -1s + -2]

Reorder the terms:
0 = [2 + 9r + -1s][-2 + 9r + -1s]

Multiply [2 + 9r + -1s] * [-2 + 9r + -1s]
0 = [2[-2 + 9r + -1s] + 9r * [-2 + 9r + -1s] + -1s * [-2 + 9r + -1s]]
0 = [[-2 * 2 + 9r * 2 + -1s * 2] + 9r * [-2 + 9r + -1s] + -1s * [-2 + 9r + -1s]]
0 = [[-4 + 18r + -2s] + 9r * [-2 + 9r + -1s] + -1s * [-2 + 9r + -1s]]
0 = [-4 + 18r + -2s + [-2 * 9r + 9r * 9r + -1s * 9r] + -1s * [-2 + 9r + -1s]]

Reorder the terms:
0 = [-4 + 18r + -2s + [-18r + -9rs + 81r2] + -1s * [-2 + 9r + -1s]]
0 = [-4 + 18r + -2s + [-18r + -9rs + 81r2] + -1s * [-2 + 9r + -1s]]
0 = [-4 + 18r + -2s + -18r + -9rs + 81r2 + [-2 * -1s + 9r * -1s + -1s * -1s]]

Reorder the terms:
0 = [-4 + 18r + -2s + -18r + -9rs + 81r2 + [-9rs + 2s + 1s2]]
0 = [-4 + 18r + -2s + -18r + -9rs + 81r2 + [-9rs + 2s + 1s2]]

Reorder the terms:
0 = [-4 + 18r + -18r + -9rs + -9rs + 81r2 + -2s + 2s + 1s2]

Combine like terms: 18r + -18r = 0
0 = [-4 + 0 + -9rs + -9rs + 81r2 + -2s + 2s + 1s2]
0 = [-4 + -9rs + -9rs + 81r2 + -2s + 2s + 1s2]

Combine like terms: -9rs + -9rs = -18rs
0 = [-4 + -18rs + 81r2 + -2s + 2s + 1s2]

Combine like terms: -2s + 2s = 0
0 = [-4 + -18rs + 81r2 + 0 + 1s2]
0 = [-4 + -18rs + 81r2 + 1s2]

Solving
0 = -4 + -18rs + 81r2 + 1s2

Solving for variable 'r'.

Combine like terms: 0 + 4 = 4
4 + 18rs + -81r2 + -1s2 = -4 + -18rs + 81r2 + 1s2 + 4 + 18rs + -81r2 + -1s2

Reorder the terms:
4 + 18rs + -81r2 + -1s2 = -4 + 4 + -18rs + 18rs + 81r2 + -81r2 + 1s2 + -1s2

Combine like terms: -4 + 4 = 0
4 + 18rs + -81r2 + -1s2 = 0 + -18rs + 18rs + 81r2 + -81r2 + 1s2 + -1s2
4 + 18rs + -81r2 + -1s2 = -18rs + 18rs + 81r2 + -81r2 + 1s2 + -1s2

Combine like terms: -18rs + 18rs = 0
4 + 18rs + -81r2 + -1s2 = 0 + 81r2 + -81r2 + 1s2 + -1s2
4 + 18rs + -81r2 + -1s2 = 81r2 + -81r2 + 1s2 + -1s2

Combine like terms: 81r2 + -81r2 = 0
4 + 18rs + -81r2 + -1s2 = 0 + 1s2 + -1s2
4 + 18rs + -81r2 + -1s2 = 1s2 + -1s2

Combine like terms: 1s2 + -1s2 = 0
4 + 18rs + -81r2 + -1s2 = 0

The solution to this equation could not be determined.

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