Solve 0=m^2+240n-9972

$$0 = m ^ { 2 } + 240 n - 9972$$

Solve for n

$$n=-\frac{m^{2}}{240}+\frac{831}{20}$$

Steps for Solving Linear Equation

Swap sides so that all variable terms are on the left hand side.

$$m^{2}+240n-9972=0$$

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

$$240n-9972=-m^{2}$$

Add 9972 to both sides.

$$240n=-m^{2}+9972$$

The equation is in standard form.

$$240n=9972-m^{2}$$

Divide both sides by 240.

$$\frac{240n}{240}=\frac{9972-m^{2}}{240}$$

Dividing by 240 undoes the multiplication by 240.

$$n=\frac{9972-m^{2}}{240}$$

Divide -m^{2}+9972 by 240.

$$n=-\frac{m^{2}}{240}+\frac{831}{20}$$

Solve for m

$$m=2\sqrt{2493-60n}$$

$$m=-2\sqrt{2493-60n}\text{, }n\leq \frac{831}{20}$$