Solve 3/4n+1/4n^2=n-1/n^2

$$\frac { 3 } { 4 n } + \frac { 1 } { 4 n ^ { 2 } } = \frac { n - 1 } { n ^ { 2 } }$$

Solve for n

$$n=5$$

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 4n^{2}, the least common multiple of 4n,4n^{2},n^{2}.

$$n\times 3+1=4\left(n-1\right)$$

Use the distributive property to multiply 4 by n-1.

$$n\times 3+1=4n-4$$

Subtract 4n from both sides.

$$n\times 3+1-4n=-4$$

Combine n\times 3 and -4n to get -n.

$$-n+1=-4$$

Subtract 1 from both sides.

$$-n=-4-1$$

Subtract 1 from -4 to get -5.

$$-n=-5$$

Multiply both sides by -1.

$$n=5$$