Solve 4/x-x+3

$$\frac{ 4 }{ x } -x+3$$

Evaluate

$$-x+3+\frac{4}{x}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply -x+3 times \frac{x}{x}.

$$\frac{4}{x}+\frac{\left(-x+3\right)x}{x}$$

Since \frac{4}{x} and \frac{\left(-x+3\right)x}{x} have the same denominator, add them by adding their numerators.

$$\frac{4+\left(-x+3\right)x}{x}$$

Do the multiplications in 4+\left(-x+3\right)x.

$$\frac{4-x^{2}+3x}{x}$$

Factor

$$-\frac{\left(x-4\right)\left(x+1\right)}{x}$$