Solve 3/n^2=n-4/3n^2+2/3n^

$$\frac{ 3 }{ { n }^{ 2 } } = \frac{ n-4 }{ 3 { n }^{ 2 } } + \frac{ 2 }{ 3 { n }^{ } }$$

Solve for n

$$n = \frac{13}{3} = 4\frac{1}{3} \approx 4.333333333$$

Steps for Solving Linear Equation

Variable n cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 3n^{2}, the least common multiple of n^{2},3n^{2},3n^{1}.

$$3\times 3=n-4+n\times 2$$

Multiply 3 and 3 to get 9.

$$9=n-4+n\times 2$$

Combine n and n\times 2 to get 3n.

$$9=3n-4$$

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

$$3n-4=9$$

Add 4 to both sides.

$$3n=9+4$$

Add 9 and 4 to get 13.

$$3n=13$$

Divide both sides by 3.

$$n=\frac{13}{3}$$