Solve SA=4.18*10^23/A*TBq/a

$$S A = \frac { 4.18 \times 10 ^ { 23 } } { A \times T } \frac { B q } { a }$$

Solve for B (complex solution)

$$\left\{\begin{matrix}B=\frac{STaA^{2}}{418000000000000000000000q}\text{, }&q\neq 0\text{ and }A\neq 0\text{ and }T\neq 0\text{ and }a\neq 0\\B\in \mathrm{C}\text{, }&S=0\text{ and }q=0\text{ and }A\neq 0\text{ and }T\neq 0\text{ and }a\neq 0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by ATa, the least common multiple of AT,a.

$$SAATa=a\times 4.18\times 10^{23}\times \frac{Bq}{a}$$

Multiply A and A to get A^{2}.

$$SA^{2}Ta=a\times 4.18\times 10^{23}\times \frac{Bq}{a}$$

Calculate 10 to the power of 23 and get 100000000000000000000000.

$$SA^{2}Ta=a\times 4.18\times 100000000000000000000000\times \frac{Bq}{a}$$

Multiply 4.18 and 100000000000000000000000 to get 418000000000000000000000.

$$SA^{2}Ta=a\times 418000000000000000000000\times \frac{Bq}{a}$$

Express a\times \frac{Bq}{a} as a single fraction.

$$SA^{2}Ta=\frac{aBq}{a}\times 418000000000000000000000$$

Cancel out a in both numerator and denominator.

$$SA^{2}Ta=Bq\times 418000000000000000000000$$

Swap sides so that all variable terms are on the left hand side.

$$Bq\times 418000000000000000000000=SA^{2}Ta$$

The equation is in standard form.

$$418000000000000000000000qB=STaA^{2}$$

Divide both sides by 418000000000000000000000q.

$$\frac{418000000000000000000000qB}{418000000000000000000000q}=\frac{STaA^{2}}{418000000000000000000000q}$$

Dividing by 418000000000000000000000q undoes the multiplication by 418000000000000000000000q.

$$B=\frac{STaA^{2}}{418000000000000000000000q}$$

Solve for B

$$\left\{\begin{matrix}B=\frac{STaA^{2}}{418000000000000000000000q}\text{, }&q\neq 0\text{ and }A\neq 0\text{ and }T\neq 0\text{ and }a\neq 0\\B\in \mathrm{R}\text{, }&S=0\text{ and }q=0\text{ and }A\neq 0\text{ and }T\neq 0\text{ and }a\neq 0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by ATa, the least common multiple of AT,a.

$$SAATa=a\times 4.18\times 10^{23}\times \frac{Bq}{a}$$

Multiply A and A to get A^{2}.

$$SA^{2}Ta=a\times 4.18\times 10^{23}\times \frac{Bq}{a}$$

Calculate 10 to the power of 23 and get 100000000000000000000000.

$$SA^{2}Ta=a\times 4.18\times 100000000000000000000000\times \frac{Bq}{a}$$

Multiply 4.18 and 100000000000000000000000 to get 418000000000000000000000.

$$SA^{2}Ta=a\times 418000000000000000000000\times \frac{Bq}{a}$$

Express a\times \frac{Bq}{a} as a single fraction.

$$SA^{2}Ta=\frac{aBq}{a}\times 418000000000000000000000$$

Cancel out a in both numerator and denominator.

$$SA^{2}Ta=Bq\times 418000000000000000000000$$

Swap sides so that all variable terms are on the left hand side.

$$Bq\times 418000000000000000000000=SA^{2}Ta$$

The equation is in standard form.

$$418000000000000000000000qB=STaA^{2}$$

Divide both sides by 418000000000000000000000q.

$$\frac{418000000000000000000000qB}{418000000000000000000000q}=\frac{STaA^{2}}{418000000000000000000000q}$$

Dividing by 418000000000000000000000q undoes the multiplication by 418000000000000000000000q.

$$B=\frac{STaA^{2}}{418000000000000000000000q}$$

Solve for A (complex solution)

$$\left\{\begin{matrix}\\A\neq 0\text{, }&\text{unconditionally}\\A=-20000000000S^{-0.5}T^{-0.5}a^{-0.5}\sqrt{B}\sqrt{1045q}\text{; }A=20000000000S^{-0.5}T^{-0.5}a^{-0.5}\sqrt{B}\sqrt{1045q}\text{, }&q\neq 0\text{ and }B\neq 0\text{ and }a\neq 0\text{ and }T\neq 0\text{ and }S\neq 0\end{matrix}\right.$$