rx^2+sx-1=0

Solution for rx^2+sx-1=0 equation:

Simplifying
rx2 + sx + -1 = 0

Reorder the terms:
-1 + rx2 + sx = 0

Solving
-1 + rx2 + sx = 0

Solving for variable 'r'.

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

Add '1' to each side of the equation.
-1 + rx2 + 1 + sx = 0 + 1

Reorder the terms:
-1 + 1 + rx2 + sx = 0 + 1

Combine like terms: -1 + 1 = 0
0 + rx2 + sx = 0 + 1
rx2 + sx = 0 + 1

Combine like terms: 0 + 1 = 1
rx2 + sx = 1

Add '-1sx' to each side of the equation.
rx2 + sx + -1sx = 1 + -1sx

Combine like terms: sx + -1sx = 0
rx2 + 0 = 1 + -1sx
rx2 = 1 + -1sx

Divide each side by 'x2'.
r = x-2 + -1sx-1

Simplifying
r = x-2 + -1sx-1

Reorder the terms:
r = -1sx-1 + x-2