Solve dy=1-7x^2

$$d y = 1 - 7 x ^ { 2 }$$

Solve for d (complex solution)

$$\left\{\begin{matrix}d=\frac{1-7x^{2}}{y}\text{, }&y\neq 0\\d\in \mathrm{C}\text{, }&\left(x=\frac{\sqrt{7}}{7}\text{ or }x=-\frac{\sqrt{7}}{7}\right)\text{ and }y=0\end{matrix}\right.$$

Steps for Solving Linear Equation

The equation is in standard form.

$$yd=1-7x^{2}$$

Divide both sides by y.

$$\frac{yd}{y}=\frac{1-7x^{2}}{y}$$

Dividing by y undoes the multiplication by y.

$$d=\frac{1-7x^{2}}{y}$$

Solve for d

$$\left\{\begin{matrix}d=\frac{1-7x^{2}}{y}\text{, }&y\neq 0\\d\in \mathrm{R}\text{, }&y=0\text{ and }|x|=\frac{\sqrt{7}}{7}\end{matrix}\right.$$

Steps for Solving Linear Equation

The equation is in standard form.

$$yd=1-7x^{2}$$

Divide both sides by y.

$$\frac{yd}{y}=\frac{1-7x^{2}}{y}$$

Dividing by y undoes the multiplication by y.

$$d=\frac{1-7x^{2}}{y}$$

Solve for x (complex solution)

$$x=-\frac{\sqrt{7-7dy}}{7}$$

$$x=\frac{\sqrt{7-7dy}}{7}$$

Solve for x

$$x=\frac{\sqrt{7-7dy}}{7}$$

$$x=-\frac{\sqrt{7-7dy}}{7}\text{, }\left(y\geq 0\text{ or }d\geq \frac{1}{y}\right)\text{ and }\left(y\leq 0\text{ or }d\leq \frac{1}{y}\right)$$