Solve 3/n^2=n-4/3n^2+2/3n^277

$$\frac{ 3 }{ { n }^{ 2 } } = \frac{ n-4 }{ 3 { n }^{ 2 } } + \frac{ 2 }{ 3 { n }^{ 2 } } 77$$

Solve for n

$$n=-141$$

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}.

$$3\times 3=n-4+2\times 77$$

Multiply 3 and 3 to get 9.

$$9=n-4+2\times 77$$

Multiply 2 and 77 to get 154.

$$9=n-4+154$$

Add -4 and 154 to get 150.

$$9=n+150$$

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

$$n+150=9$$

Subtract 150 from both sides.

$$n=9-150$$

Subtract 150 from 9 to get -141.

$$n=-141$$