x^2+rx+s=0

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Solution for x^2+rx+s=0 equation:


Simplifying
x2 + rx + s = 0

Reorder the terms:
rx + s + x2 = 0

Solving
rx + s + x2 = 0

Solving for variable 'r'.

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

Add '-1s' to each side of the equation.
rx + s + -1s + x2 = 0 + -1s

Combine like terms: s + -1s = 0
rx + 0 + x2 = 0 + -1s
rx + x2 = 0 + -1s
Remove the zero:
rx + x2 = -1s

Add '-1x2' to each side of the equation.
rx + x2 + -1x2 = -1s + -1x2

Combine like terms: x2 + -1x2 = 0
rx + 0 = -1s + -1x2
rx = -1s + -1x2

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

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

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