Solve 3y=w(5x^2/400)

$$3 y = w ( 5 x ^ { 2 } / 400 )$$

Solve for w (complex solution)

$$\left\{\begin{matrix}w=\frac{240y}{x^{2}}\text{, }&x\neq 0\\w\in \mathrm{C}\text{, }&y=0\text{ and }x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 400.

$$1200y=w\times 5x^{2}$$

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

$$w\times 5x^{2}=1200y$$

The equation is in standard form.

$$5x^{2}w=1200y$$

Divide both sides by 5x^{2}.

$$\frac{5x^{2}w}{5x^{2}}=\frac{1200y}{5x^{2}}$$

Dividing by 5x^{2} undoes the multiplication by 5x^{2}.

$$w=\frac{1200y}{5x^{2}}$$

Divide 1200y by 5x^{2}.

$$w=\frac{240y}{x^{2}}$$

Solve for w

$$\left\{\begin{matrix}w=\frac{240y}{x^{2}}\text{, }&x\neq 0\\w\in \mathrm{R}\text{, }&y=0\text{ and }x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 400.

$$1200y=w\times 5x^{2}$$

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

$$w\times 5x^{2}=1200y$$

The equation is in standard form.

$$5x^{2}w=1200y$$

Divide both sides by 5x^{2}.

$$\frac{5x^{2}w}{5x^{2}}=\frac{1200y}{5x^{2}}$$

Dividing by 5x^{2} undoes the multiplication by 5x^{2}.

$$w=\frac{1200y}{5x^{2}}$$

Divide 1200y by 5x^{2}.

$$w=\frac{240y}{x^{2}}$$

Solve for x (complex solution)

$$\left\{\begin{matrix}x=-4w^{-\frac{1}{2}}\sqrt{15y}\text{; }x=4w^{-\frac{1}{2}}\sqrt{15y}\text{, }&w\neq 0\\x\in \mathrm{C}\text{, }&y=0\text{ and }w=0\end{matrix}\right.$$

Solve for x

$$\left\{\begin{matrix}x=4\sqrt{\frac{15y}{w}}\text{; }x=-4\sqrt{\frac{15y}{w}}\text{, }&\left(y\geq 0\text{ and }w>0\right)\text{ or }\left(y\leq 0\text{ and }w<0\right)\\x\in \mathrm{R}\text{, }&y=0\text{ and }w=0\end{matrix}\right.$$