Solve operatorname{de}5-x^2=x^2

$$\operatorname { de } 5 - x ^ { 2 } = x ^ { 2 }$$

Solve for d

$$d=\frac{2x^{2}}{5e}$$

Steps for Solving Linear Equation

Add x^{2} to both sides.

$$de\times 5=x^{2}+x^{2}$$

Combine x^{2} and x^{2} to get 2x^{2}.

$$de\times 5=2x^{2}$$

The equation is in standard form.

$$5ed=2x^{2}$$

Divide both sides by 5e.

$$\frac{5ed}{5e}=\frac{2x^{2}}{5e}$$

Dividing by 5e undoes the multiplication by 5e.

$$d=\frac{2x^{2}}{5e}$$

Solve for x (complex solution)

$$x=-\frac{\sqrt{10ed}}{2}$$

$$x=\frac{\sqrt{10ed}}{2}$$

Solve for x

$$x=\frac{\sqrt{10ed}}{2}$$

$$x=-\frac{\sqrt{10ed}}{2}\text{, }d\geq 0$$