Solve S_{Delta}=abc/4R

$$S _ { \Delta } = \frac { a b c } { 4 R }$$

Solve for R

$$\left\{\begin{matrix}R=\frac{abc}{4S_{Δ}}\text{, }&c\neq 0\text{ and }b\neq 0\text{ and }a\neq 0\text{ and }S_{Δ}\neq 0\\R\neq 0\text{, }&\left(a=0\text{ or }b=0\text{ or }c=0\right)\text{ and }S_{Δ}=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Variable R cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 4R.

$$S_{Δ}\times 4R=abc$$

Reorder the terms.

$$4RS_{Δ}=abc$$

The equation is in standard form.

$$4S_{Δ}R=abc$$

Divide both sides by 4S_{Δ}.

$$\frac{4S_{Δ}R}{4S_{Δ}}=\frac{abc}{4S_{Δ}}$$

Dividing by 4S_{Δ} undoes the multiplication by 4S_{Δ}.

$$R=\frac{abc}{4S_{Δ}}$$

Variable R cannot be equal to 0.

$$R=\frac{abc}{4S_{Δ}}\text{, }R\neq 0$$

Solve for S_Δ

$$S_{Δ}=\frac{abc}{4R}$$

$$R\neq 0$$