rx^2+sx+t=0

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Solution for rx^2+sx+t=0 equation:


Simplifying
rx2 + sx + t = 0

Solving
rx2 + sx + t = 0

Solving for variable 'r'.

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

Add '-1sx' to each side of the equation.
rx2 + sx + -1sx + t = 0 + -1sx

Combine like terms: sx + -1sx = 0
rx2 + 0 + t = 0 + -1sx
rx2 + t = 0 + -1sx
Remove the zero:
rx2 + t = -1sx

Add '-1t' to each side of the equation.
rx2 + t + -1t = -1sx + -1t

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

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

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

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