Solve k^2+15n-6=0

$$k ^ { 2 } + 15 n - 6 = 0$$

Solve for n

$$n=-\frac{k^{2}}{15}+\frac{2}{5}$$

Steps for Solving Linear Equation

Subtract k^{2} from both sides. Anything subtracted from zero gives its negation.

$$15n-6=-k^{2}$$

Add 6 to both sides.

$$15n=-k^{2}+6$$

The equation is in standard form.

$$15n=6-k^{2}$$

Divide both sides by 15.

$$\frac{15n}{15}=\frac{6-k^{2}}{15}$$

Dividing by 15 undoes the multiplication by 15.

$$n=\frac{6-k^{2}}{15}$$

Divide -k^{2}+6 by 15.

$$n=-\frac{k^{2}}{15}+\frac{2}{5}$$

Solve for k (complex solution)

$$k=-\sqrt{6-15n}$$

$$k=\sqrt{6-15n}$$

Solve for k

$$k=\sqrt{6-15n}$$

$$k=-\sqrt{6-15n}\text{, }n\leq \frac{2}{5}$$