Solve 27n^2-909m+400=0

$$27 n ^ { 2 } - 909 m + 400 = 0$$

Solve for m

$$m=\frac{3n^{2}}{101}+\frac{400}{909}$$

Steps for Solving Linear Equation

Subtract 27n^{2} from both sides. Anything subtracted from zero gives its negation.

$$-909m+400=-27n^{2}$$

Subtract 400 from both sides.

$$-909m=-27n^{2}-400$$

Divide both sides by -909.

$$\frac{-909m}{-909}=\frac{-27n^{2}-400}{-909}$$

Dividing by -909 undoes the multiplication by -909.

$$m=\frac{-27n^{2}-400}{-909}$$

Divide -27n^{2}-400 by -909.

$$m=\frac{3n^{2}}{101}+\frac{400}{909}$$

Solve for n (complex solution)

$$n=-\frac{\sqrt{2727m-1200}}{9}$$

$$n=\frac{\sqrt{2727m-1200}}{9}$$

Solve for n

$$n=\frac{\sqrt{2727m-1200}}{9}$$

$$n=-\frac{\sqrt{2727m-1200}}{9}\text{, }m\geq \frac{400}{909}$$