Solve (150-x)*(1+xdiv35)=

$$(150-x) \times (1+x \div 35)=$$

Evaluate

$$\frac{\left(150-x\right)\left(x+35\right)}{35}$$

Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 1 times \frac{35}{35}.

$$\left(150-x\right)\left(\frac{35}{35}+\frac{x}{35}\right)$$

Since \frac{35}{35} and \frac{x}{35} have the same denominator, add them by adding their numerators.

$$\left(150-x\right)\times \frac{35+x}{35}$$

Express \left(150-x\right)\times \frac{35+x}{35} as a single fraction.

$$\frac{\left(150-x\right)\left(35+x\right)}{35}$$

Apply the distributive property by multiplying each term of 150-x by each term of 35+x.

$$\frac{5250+150x-35x-x^{2}}{35}$$

Combine 150x and -35x to get 115x.

$$\frac{5250+115x-x^{2}}{35}$$

Expand

$$-\frac{x^{2}}{35}+\frac{23x}{7}+150$$

Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply 1 times \frac{35}{35}.

$$\left(150-x\right)\left(\frac{35}{35}+\frac{x}{35}\right)$$

Since \frac{35}{35} and \frac{x}{35} have the same denominator, add them by adding their numerators.

$$\left(150-x\right)\times \frac{35+x}{35}$$

Express \left(150-x\right)\times \frac{35+x}{35} as a single fraction.

$$\frac{\left(150-x\right)\left(35+x\right)}{35}$$

Apply the distributive property by multiplying each term of 150-x by each term of 35+x.

$$\frac{5250+150x-35x-x^{2}}{35}$$

Combine 150x and -35x to get 115x.

$$\frac{5250+115x-x^{2}}{35}$$