Solve 10n-x^2-6x-5=0

$$10 n - x ^ { 2 } - 6 x - 5 = 0$$

Solve for n

$$n=\frac{\left(x+1\right)\left(x+5\right)}{10}$$

Steps for Solving Linear Equation

Add x^{2} to both sides. Anything plus zero gives itself.

$$10n-6x-5=x^{2}$$

Add 6x to both sides.

$$10n-5=x^{2}+6x$$

Add 5 to both sides.

$$10n=x^{2}+6x+5$$

Divide both sides by 10.

$$\frac{10n}{10}=\frac{\left(x+1\right)\left(x+5\right)}{10}$$

Dividing by 10 undoes the multiplication by 10.

$$n=\frac{\left(x+1\right)\left(x+5\right)}{10}$$

Solve for x (complex solution)

$$x=-\sqrt{10n+4}-3$$

$$x=\sqrt{10n+4}-3$$

Solve for x

$$x=-\sqrt{10n+4}-3$$

$$x=\sqrt{10n+4}-3\text{, }n\geq -\frac{2}{5}$$