s(s-1)=l(l+1)

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Solution for s(s-1)=l(l+1) equation: 


Simplifying
s(s + -1) = l(l + 1)

Reorder the terms:
s(-1 + s) = l(l + 1)
(-1 * s + s * s) = l(l + 1)
(-1s + s2) = l(l + 1)

Reorder the terms:
-1s + s2 = l(1 + l)
-1s + s2 = (1 * l + l * l)
-1s + s2 = (1l + l2)

Solving
-1s + s2 = 1l + l2

Solving for variable 's'.

Reorder the terms:
-1l + -1l2 + -1s + s2 = 1l + l2 + -1l + -1l2

Reorder the terms:
-1l + -1l2 + -1s + s2 = 1l + -1l + l2 + -1l2

Combine like terms: 1l + -1l = 0
-1l + -1l2 + -1s + s2 = 0 + l2 + -1l2
-1l + -1l2 + -1s + s2 = l2 + -1l2

Combine like terms: l2 + -1l2 = 0
-1l + -1l2 + -1s + s2 = 0

The solution to this equation could not be determined.

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