Solve for c (complex solution)
\left\{\begin{matrix}\\c=y\text{, }&\text{unconditionally}\\c\in \mathrm{C}\text{, }&x=0\end{matrix}\right.
Solve for x (complex solution)
\left\{\begin{matrix}\\x=0\text{, }&\text{unconditionally}\\x\in \mathrm{C}\text{, }&y=c\end{matrix}\right.
Solve for c
\left\{\begin{matrix}\\c=y\text{, }&\text{unconditionally}\\c\in \mathrm{R}\text{, }&x=0\end{matrix}\right.
Solve for x
\left\{\begin{matrix}\\x=0\text{, }&\text{unconditionally}\\x\in \mathrm{R}\text{, }&y=c\end{matrix}\right.
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cx=xy
Swap sides so that all variable terms are on the left hand side.
xc=xy
The equation is in standard form.
\frac{xc}{x}=\frac{xy}{x}
Divide both sides by x.
c=\frac{xy}{x}
Dividing by x undoes the multiplication by x.
c=y
Divide xy by x.
xy-cx=0
Subtract cx from both sides.
\left(y-c\right)x=0
Combine all terms containing x.
x=0
Divide 0 by y-c.
cx=xy
Swap sides so that all variable terms are on the left hand side.
xc=xy
The equation is in standard form.
\frac{xc}{x}=\frac{xy}{x}
Divide both sides by x.
c=\frac{xy}{x}
Dividing by x undoes the multiplication by x.
c=y
Divide xy by x.
xy-cx=0
Subtract cx from both sides.
\left(y-c\right)x=0
Combine all terms containing x.
x=0
Divide 0 by y-c.
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Simultaneous equation
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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Limits
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