Solve y/left(0.01xright)^2=z

$$\frac{ y }{ { \left(0.01x \right) }^{ 2 } } =z$$

Solve for y

$$y=\frac{zx^{2}}{10000}$$

$$x\neq 0$$

Steps for Solving Linear Equation

Expand \left(0.01x\right)^{2}.

$$\frac{y}{0.01^{2}x^{2}}=z$$

Calculate 0.01 to the power of 2 and get 0.0001.

$$\frac{y}{0.0001x^{2}}=z$$

The equation is in standard form.

$$\frac{10000}{x^{2}}y=z$$

Divide both sides by 10000x^{-2}.

$$\frac{\frac{10000}{x^{2}}yx^{2}}{10000}=\frac{zx^{2}}{10000}$$

Dividing by 10000x^{-2} undoes the multiplication by 10000x^{-2}.

$$y=\frac{zx^{2}}{10000}$$

Solve for x (complex solution)

$$\left\{\begin{matrix}\\x\neq 0\text{, }&\text{unconditionally}\\x=-100z^{-0.5}\sqrt{y}\text{; }x=100z^{-0.5}\sqrt{y}\text{, }&y\neq 0\text{ and }z\neq 0\end{matrix}\right.$$

Solve for x

$$\left\{\begin{matrix}\\x\neq 0\text{, }&\text{unconditionally}\\x=100\sqrt{\frac{y}{z}}\text{; }x=-100\sqrt{\frac{y}{z}}\text{, }&\left(z<0\text{ and }y<0\right)\text{ or }\left(z>0\text{ and }y>0\right)\end{matrix}\right.$$