Solve 6/x^2+5/2x

$$\frac { 6 } { x ^ { 2 } } + \frac { 5 } { 2 x }$$

Evaluate

$$\frac{5}{2x}+\frac{6}{x^{2}}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of x^{2} and 2x is 2x^{2}. Multiply \frac{6}{x^{2}} times \frac{2}{2}. Multiply \frac{5}{2x} times \frac{x}{x}.

$$\frac{6\times 2}{2x^{2}}+\frac{5x}{2x^{2}}$$

Since \frac{6\times 2}{2x^{2}} and \frac{5x}{2x^{2}} have the same denominator, add them by adding their numerators.

$$\frac{6\times 2+5x}{2x^{2}}$$

Do the multiplications in 6\times 2+5x.

$$\frac{12+5x}{2x^{2}}$$

Factor

$$\frac{5x+12}{2x^{2}}$$