Solve for k (complex solution)
\left\{\begin{matrix}k=-\frac{x-h+15}{3x}\text{, }&x\neq 0\\k\in \mathrm{C}\text{, }&h=15\text{ and }x=0\end{matrix}\right.
Solve for k
\left\{\begin{matrix}k=-\frac{x-h+15}{3x}\text{, }&x\neq 0\\k\in \mathrm{R}\text{, }&h=15\text{ and }x=0\end{matrix}\right.
Solve for h
h=3kx+x+15
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3kx+15=h-x
Swap sides so that all variable terms are on the left hand side.
3kx=h-x-15
Subtract 15 from both sides.
3xk=-x+h-15
The equation is in standard form.
\frac{3xk}{3x}=\frac{-x+h-15}{3x}
Divide both sides by 3x.
k=\frac{-x+h-15}{3x}
Dividing by 3x undoes the multiplication by 3x.
3kx+15=h-x
Swap sides so that all variable terms are on the left hand side.
3kx=h-x-15
Subtract 15 from both sides.
3xk=-x+h-15
The equation is in standard form.
\frac{3xk}{3x}=\frac{-x+h-15}{3x}
Divide both sides by 3x.
k=\frac{-x+h-15}{3x}
Dividing by 3x undoes the multiplication by 3x.
h=3kx+15+x
Add x to both sides.
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