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Solve for s (complex solution)
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Solve for s
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Solve for t
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s=\frac{sx}{t}
Express \frac{s}{t}x as a single fraction.
s-\frac{sx}{t}=0
Subtract \frac{sx}{t} from both sides.
\frac{st}{t}-\frac{sx}{t}=0
To add or subtract expressions, expand them to make their denominators the same. Multiply s times \frac{t}{t}.
\frac{st-sx}{t}=0
Since \frac{st}{t} and \frac{sx}{t} have the same denominator, subtract them by subtracting their numerators.
st-sx=0
Multiply both sides of the equation by t.
\left(t-x\right)s=0
Combine all terms containing s.
s=0
Divide 0 by -x+t.
s=\frac{sx}{t}
Express \frac{s}{t}x as a single fraction.
s-\frac{sx}{t}=0
Subtract \frac{sx}{t} from both sides.
\frac{st}{t}-\frac{sx}{t}=0
To add or subtract expressions, expand them to make their denominators the same. Multiply s times \frac{t}{t}.
\frac{st-sx}{t}=0
Since \frac{st}{t} and \frac{sx}{t} have the same denominator, subtract them by subtracting their numerators.
st-sx=0
Multiply both sides of the equation by t.
\left(t-x\right)s=0
Combine all terms containing s.
s=0
Divide 0 by -x+t.
st=sx
Variable t cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by t.
\frac{st}{s}=\frac{sx}{s}
Divide both sides by s.
t=\frac{sx}{s}
Dividing by s undoes the multiplication by s.
t=x
Divide sx by s.
t=x\text{, }t\neq 0
Variable t cannot be equal to 0.