Solve M^2-m-30=0

$${ M }^{ 2 } -m-30 = 0$$

Solve for m

$$m=M^{2}-30$$

Steps for Solving Linear Equation

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

$$-m-30=-M^{2}$$

Add 30 to both sides.

$$-m=-M^{2}+30$$

The equation is in standard form.

$$-m=30-M^{2}$$

Divide both sides by -1.

$$\frac{-m}{-1}=\frac{30-M^{2}}{-1}$$

Dividing by -1 undoes the multiplication by -1.

$$m=\frac{30-M^{2}}{-1}$$

Divide -M^{2}+30 by -1.

$$m=M^{2}-30$$

Solve for M (complex solution)

$$M=-\sqrt{m+30}$$

$$M=\sqrt{m+30}$$

Solve for M

$$M=\sqrt{m+30}$$

$$M=-\sqrt{m+30}\text{, }m\geq -30$$