Solve for k (complex solution)
\left\{\begin{matrix}k=-\frac{8x-y+m}{x^{2}}\text{, }&x\neq 0\\k\in \mathrm{C}\text{, }&y=m\text{ and }x=0\end{matrix}\right.
Solve for k
\left\{\begin{matrix}k=-\frac{8x-y+m}{x^{2}}\text{, }&x\neq 0\\k\in \mathrm{R}\text{, }&y=m\text{ and }x=0\end{matrix}\right.
Solve for m
m=y-8x-kx^{2}
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kx^{2}+8x+m=y
Swap sides so that all variable terms are on the left hand side.
kx^{2}+m=y-8x
Subtract 8x from both sides.
kx^{2}=y-8x-m
Subtract m from both sides.
x^{2}k=-8x+y-m
The equation is in standard form.
\frac{x^{2}k}{x^{2}}=\frac{-8x+y-m}{x^{2}}
Divide both sides by x^{2}.
k=\frac{-8x+y-m}{x^{2}}
Dividing by x^{2} undoes the multiplication by x^{2}.
kx^{2}+8x+m=y
Swap sides so that all variable terms are on the left hand side.
kx^{2}+m=y-8x
Subtract 8x from both sides.
kx^{2}=y-8x-m
Subtract m from both sides.
x^{2}k=-8x+y-m
The equation is in standard form.
\frac{x^{2}k}{x^{2}}=\frac{-8x+y-m}{x^{2}}
Divide both sides by x^{2}.
k=\frac{-8x+y-m}{x^{2}}
Dividing by x^{2} undoes the multiplication by x^{2}.
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