Solve (x-150)(100-x/5)

$$( x - 150 ) ( 100 - \frac { x } { 5 } )$$

Evaluate

$$\frac{\left(500-x\right)\left(x-150\right)}{5}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 100 times \frac{5}{5}.

$$\left(x-150\right)\left(\frac{100\times 5}{5}-\frac{x}{5}\right)$$

Since \frac{100\times 5}{5} and \frac{x}{5} have the same denominator, subtract them by subtracting their numerators.

$$\left(x-150\right)\times \frac{100\times 5-x}{5}$$

Do the multiplications in 100\times 5-x.

$$\left(x-150\right)\times \frac{500-x}{5}$$

Express \left(x-150\right)\times \frac{500-x}{5} as a single fraction.

$$\frac{\left(x-150\right)\left(500-x\right)}{5}$$

Apply the distributive property by multiplying each term of x-150 by each term of 500-x.

$$\frac{500x-x^{2}-75000+150x}{5}$$

Combine 500x and 150x to get 650x.

$$\frac{650x-x^{2}-75000}{5}$$

Expand

$$-\frac{x^{2}}{5}+130x-15000$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 100 times \frac{5}{5}.

$$\left(x-150\right)\left(\frac{100\times 5}{5}-\frac{x}{5}\right)$$

Since \frac{100\times 5}{5} and \frac{x}{5} have the same denominator, subtract them by subtracting their numerators.

$$\left(x-150\right)\times \frac{100\times 5-x}{5}$$

Do the multiplications in 100\times 5-x.

$$\left(x-150\right)\times \frac{500-x}{5}$$

Express \left(x-150\right)\times \frac{500-x}{5} as a single fraction.

$$\frac{\left(x-150\right)\left(500-x\right)}{5}$$

Apply the distributive property by multiplying each term of x-150 by each term of 500-x.

$$\frac{500x-x^{2}-75000+150x}{5}$$

Combine 500x and 150x to get 650x.

$$\frac{650x-x^{2}-75000}{5}$$