Solve S=4y^2+pi/w

$$S = 4 y ^ { 2 } + \frac { \pi } { w }$$

Solve for w

$$w=-\frac{\pi }{4y^{2}-S}$$

$$S\neq 4y^{2}$$

Steps for Solving Linear Equation

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

$$Sw=4y^{2}w+\pi$$

Subtract 4y^{2}w from both sides.

$$Sw-4y^{2}w=\pi$$

Combine all terms containing w.

$$\left(S-4y^{2}\right)w=\pi$$

Divide both sides by S-4y^{2}.

$$\frac{\left(S-4y^{2}\right)w}{S-4y^{2}}=\frac{\pi }{S-4y^{2}}$$

Dividing by S-4y^{2} undoes the multiplication by S-4y^{2}.

$$w=\frac{\pi }{S-4y^{2}}$$

Variable w cannot be equal to 0.

$$w=\frac{\pi }{S-4y^{2}}\text{, }w\neq 0$$

Solve for S

$$S=4y^{2}+\frac{\pi }{w}$$

$$w\neq 0$$