Solve x(100-x-3000/50)-x+3000

$$x ( 100 - \frac { x - 3000 } { 50 } ) - x + 3000$$

Evaluate

$$-\frac{x^{2}}{50}+159x+3000$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 100 times \frac{50}{50}.

$$x\left(\frac{100\times 50}{50}-\frac{x-3000}{50}\right)-x+3000$$

Since \frac{100\times 50}{50} and \frac{x-3000}{50} have the same denominator, subtract them by subtracting their numerators.

$$x\times \frac{100\times 50-\left(x-3000\right)}{50}-x+3000$$

Do the multiplications in 100\times 50-\left(x-3000\right).

$$x\times \frac{5000-x+3000}{50}-x+3000$$

Combine like terms in 5000-x+3000.

$$x\times \frac{8000-x}{50}-x+3000$$

Express x\times \frac{8000-x}{50} as a single fraction.

$$\frac{x\left(8000-x\right)}{50}-x+3000$$

To add or subtract expressions, expand them to make their denominators the same. Multiply -x+3000 times \frac{50}{50}.

$$\frac{x\left(8000-x\right)}{50}+\frac{50\left(-x+3000\right)}{50}$$

Since \frac{x\left(8000-x\right)}{50} and \frac{50\left(-x+3000\right)}{50} have the same denominator, add them by adding their numerators.

$$\frac{x\left(8000-x\right)+50\left(-x+3000\right)}{50}$$

Do the multiplications in x\left(8000-x\right)+50\left(-x+3000\right).

$$\frac{8000x-x^{2}-50x+150000}{50}$$

Combine like terms in 8000x-x^{2}-50x+150000.

$$\frac{7950x-x^{2}+150000}{50}$$

Expand

$$-\frac{x^{2}}{50}+159x+3000$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 100 times \frac{50}{50}.

$$x\left(\frac{100\times 50}{50}-\frac{x-3000}{50}\right)-x+3000$$

Since \frac{100\times 50}{50} and \frac{x-3000}{50} have the same denominator, subtract them by subtracting their numerators.

$$x\times \frac{100\times 50-\left(x-3000\right)}{50}-x+3000$$

Do the multiplications in 100\times 50-\left(x-3000\right).

$$x\times \frac{5000-x+3000}{50}-x+3000$$

Combine like terms in 5000-x+3000.

$$x\times \frac{8000-x}{50}-x+3000$$

Express x\times \frac{8000-x}{50} as a single fraction.

$$\frac{x\left(8000-x\right)}{50}-x+3000$$

To add or subtract expressions, expand them to make their denominators the same. Multiply -x+3000 times \frac{50}{50}.

$$\frac{x\left(8000-x\right)}{50}+\frac{50\left(-x+3000\right)}{50}$$

Since \frac{x\left(8000-x\right)}{50} and \frac{50\left(-x+3000\right)}{50} have the same denominator, add them by adding their numerators.

$$\frac{x\left(8000-x\right)+50\left(-x+3000\right)}{50}$$

Do the multiplications in x\left(8000-x\right)+50\left(-x+3000\right).

$$\frac{8000x-x^{2}-50x+150000}{50}$$

Combine like terms in 8000x-x^{2}-50x+150000.

$$\frac{7950x-x^{2}+150000}{50}$$