Solve n^2/m+1=3

$$\frac { n ^ { 2 } } { m + 1 } = 3$$

Solve for m

$$m=\frac{n^{2}-3}{3}$$

$$n\neq 0$$

Steps for Solving Linear Equation

Variable m cannot be equal to -1 since division by zero is not defined. Multiply both sides of the equation by m+1.

$$n^{2}=3\left(m+1\right)$$

Use the distributive property to multiply 3 by m+1.

$$n^{2}=3m+3$$

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

$$3m+3=n^{2}$$

Subtract 3 from both sides.

$$3m=n^{2}-3$$

Divide both sides by 3.

$$\frac{3m}{3}=\frac{n^{2}-3}{3}$$

Dividing by 3 undoes the multiplication by 3.

$$m=\frac{n^{2}-3}{3}$$

Divide n^{2}-3 by 3.

$$m=\frac{n^{2}}{3}-1$$

Variable m cannot be equal to -1.

$$m=\frac{n^{2}}{3}-1\text{, }m\neq -1$$

Solve for n

$$n=\sqrt{3\left(m+1\right)}$$

$$n=-\sqrt{3\left(m+1\right)}\text{, }m>-1$$