Solve for A (complex solution)
\left\{\begin{matrix}A=-\frac{-30Bx+4B-5C}{x}\text{, }&x\neq 0\text{ and }C\neq B-6Bx\\A\in \mathrm{C}\text{, }&C=\frac{4B}{5}\text{ and }x=0\text{ and }B\neq 0\end{matrix}\right.
Solve for A
\left\{\begin{matrix}A=-\frac{-30Bx+4B-5C}{x}\text{, }&x\neq 0\text{ and }C\neq B-6Bx\\A\in \mathrm{R}\text{, }&C=\frac{4B}{5}\text{ and }x=0\text{ and }B\neq 0\end{matrix}\right.
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Ax-B=5\left(6Bx+C-B\right)
Multiply both sides of the equation by 6Bx+C-B.
Ax-B=30Bx+5C-5B
Use the distributive property to multiply 5 by 6Bx+C-B.
Ax=30Bx+5C-5B+B
Add B to both sides.
Ax=30Bx+5C-4B
Combine -5B and B to get -4B.
xA=30Bx+5C-4B
The equation is in standard form.
\frac{xA}{x}=\frac{30Bx+5C-4B}{x}
Divide both sides by x.
A=\frac{30Bx+5C-4B}{x}
Dividing by x undoes the multiplication by x.
Ax-B=5\left(6Bx+C-B\right)
Multiply both sides of the equation by 6Bx+C-B.
Ax-B=30Bx+5C-5B
Use the distributive property to multiply 5 by 6Bx+C-B.
Ax=30Bx+5C-5B+B
Add B to both sides.
Ax=30Bx+5C-4B
Combine -5B and B to get -4B.
xA=30Bx+5C-4B
The equation is in standard form.
\frac{xA}{x}=\frac{30Bx+5C-4B}{x}
Divide both sides by x.
A=\frac{30Bx+5C-4B}{x}
Dividing by x undoes the multiplication by x.
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