Solve for k (complex solution)
\left\{\begin{matrix}\\k=1\text{, }&\text{unconditionally}\\k\in \mathrm{C}\text{, }&y=0\end{matrix}\right.
Solve for y (complex solution)
\left\{\begin{matrix}\\y=0\text{, }&\text{unconditionally}\\y\in \mathrm{C}\text{, }&k=1\end{matrix}\right.
Solve for k
\left\{\begin{matrix}\\k=1\text{, }&\text{unconditionally}\\k\in \mathrm{R}\text{, }&y=0\end{matrix}\right.
Solve for y
\left\{\begin{matrix}\\y=0\text{, }&\text{unconditionally}\\y\in \mathrm{R}\text{, }&k=1\end{matrix}\right.
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ky=y
Swap sides so that all variable terms are on the left hand side.
yk=y
The equation is in standard form.
\frac{yk}{y}=\frac{y}{y}
Divide both sides by y.
k=\frac{y}{y}
Dividing by y undoes the multiplication by y.
k=1
Divide y by y.
y-ky=0
Subtract ky from both sides.
\left(1-k\right)y=0
Combine all terms containing y.
y=0
Divide 0 by 1-k.
ky=y
Swap sides so that all variable terms are on the left hand side.
yk=y
The equation is in standard form.
\frac{yk}{y}=\frac{y}{y}
Divide both sides by y.
k=\frac{y}{y}
Dividing by y undoes the multiplication by y.
k=1
Divide y by y.
y-ky=0
Subtract ky from both sides.
\left(1-k\right)y=0
Combine all terms containing y.
y=0
Divide 0 by 1-k.
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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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