x^2-sx-t=0

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Solution for x^2-sx-t=0 equation:


Simplifying
x2 + -1sx + -1t = 0

Reorder the terms:
-1sx + -1t + x2 = 0

Solving
-1sx + -1t + x2 = 0

Solving for variable 's'.

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

Add 't' to each side of the equation.
-1sx + -1t + t + x2 = 0 + t

Combine like terms: -1t + t = 0
-1sx + 0 + x2 = 0 + t
-1sx + x2 = 0 + t
Remove the zero:
-1sx + x2 = t

Add '-1x2' to each side of the equation.
-1sx + x2 + -1x2 = t + -1x2

Combine like terms: x2 + -1x2 = 0
-1sx + 0 = t + -1x2
-1sx = t + -1x2

Divide each side by '-1x'.
s = -1tx-1 + x

Simplifying
s = -1tx-1 + x

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