Solve for p (complex solution)
\left\{\begin{matrix}p=\frac{7k}{8q}\text{, }&q\neq 0\\p\in \mathrm{C}\text{, }&k=0\text{ and }q=0\end{matrix}\right.
Solve for k
k=\frac{8pq}{7}
Solve for p
\left\{\begin{matrix}p=\frac{7k}{8q}\text{, }&q\neq 0\\p\in \mathrm{R}\text{, }&k=0\text{ and }q=0\end{matrix}\right.
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3k=8pq-4k
Multiply both sides of the equation by 4.
8pq-4k=3k
Swap sides so that all variable terms are on the left hand side.
8pq=3k+4k
Add 4k to both sides.
8pq=7k
Combine 3k and 4k to get 7k.
8qp=7k
The equation is in standard form.
\frac{8qp}{8q}=\frac{7k}{8q}
Divide both sides by 8q.
p=\frac{7k}{8q}
Dividing by 8q undoes the multiplication by 8q.
3k=8pq-4k
Multiply both sides of the equation by 4.
3k+4k=8pq
Add 4k to both sides.
7k=8pq
Combine 3k and 4k to get 7k.
\frac{7k}{7}=\frac{8pq}{7}
Divide both sides by 7.
k=\frac{8pq}{7}
Dividing by 7 undoes the multiplication by 7.
3k=8pq-4k
Multiply both sides of the equation by 4.
8pq-4k=3k
Swap sides so that all variable terms are on the left hand side.
8pq=3k+4k
Add 4k to both sides.
8pq=7k
Combine 3k and 4k to get 7k.
8qp=7k
The equation is in standard form.
\frac{8qp}{8q}=\frac{7k}{8q}
Divide both sides by 8q.
p=\frac{7k}{8q}
Dividing by 8q undoes the multiplication by 8q.
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