Solve 5x(115/100)(5000-5x)

$$5 x ( \frac { 115 } { 100 } ) ( 5000 - 5 x )$$

Evaluate

$$\frac{115x\left(1000-x\right)}{4}$$

Solution Steps

Reduce the fraction \frac{115}{100} to lowest terms by extracting and canceling out 5.

$$5x\times \frac{23}{20}\left(5000-5x\right)$$

Express 5\times \frac{23}{20} as a single fraction.

$$\frac{5\times 23}{20}x\left(5000-5x\right)$$

Multiply 5 and 23 to get 115.

$$\frac{115}{20}x\left(5000-5x\right)$$

Reduce the fraction \frac{115}{20} to lowest terms by extracting and canceling out 5.

$$\frac{23}{4}x\left(5000-5x\right)$$

Use the distributive property to multiply \frac{23}{4}x by 5000-5x.

$$\frac{23}{4}x\times 5000+\frac{23}{4}x\left(-5\right)x$$

Multiply x and x to get x^{2}.

$$\frac{23}{4}x\times 5000+\frac{23}{4}x^{2}\left(-5\right)$$

Express \frac{23}{4}\times 5000 as a single fraction.

$$\frac{23\times 5000}{4}x+\frac{23}{4}x^{2}\left(-5\right)$$

Multiply 23 and 5000 to get 115000.

$$\frac{115000}{4}x+\frac{23}{4}x^{2}\left(-5\right)$$

Divide 115000 by 4 to get 28750.

$$28750x+\frac{23}{4}x^{2}\left(-5\right)$$

Express \frac{23}{4}\left(-5\right) as a single fraction.

$$28750x+\frac{23\left(-5\right)}{4}x^{2}$$

Multiply 23 and -5 to get -115.

$$28750x+\frac{-115}{4}x^{2}$$

Fraction \frac{-115}{4} can be rewritten as -\frac{115}{4} by extracting the negative sign.

$$28750x-\frac{115}{4}x^{2}$$

Expand

$$-\frac{115x^{2}}{4}+28750x$$

Solution Steps

Reduce the fraction \frac{115}{100} to lowest terms by extracting and canceling out 5.

$$5x\times \frac{23}{20}\left(5000-5x\right)$$

Express 5\times \frac{23}{20} as a single fraction.

$$\frac{5\times 23}{20}x\left(5000-5x\right)$$

Multiply 5 and 23 to get 115.

$$\frac{115}{20}x\left(5000-5x\right)$$

Reduce the fraction \frac{115}{20} to lowest terms by extracting and canceling out 5.

$$\frac{23}{4}x\left(5000-5x\right)$$

Use the distributive property to multiply \frac{23}{4}x by 5000-5x.

$$\frac{23}{4}x\times 5000+\frac{23}{4}x\left(-5\right)x$$

Multiply x and x to get x^{2}.

$$\frac{23}{4}x\times 5000+\frac{23}{4}x^{2}\left(-5\right)$$

Express \frac{23}{4}\times 5000 as a single fraction.

$$\frac{23\times 5000}{4}x+\frac{23}{4}x^{2}\left(-5\right)$$

Multiply 23 and 5000 to get 115000.

$$\frac{115000}{4}x+\frac{23}{4}x^{2}\left(-5\right)$$

Divide 115000 by 4 to get 28750.

$$28750x+\frac{23}{4}x^{2}\left(-5\right)$$

Express \frac{23}{4}\left(-5\right) as a single fraction.

$$28750x+\frac{23\left(-5\right)}{4}x^{2}$$

Multiply 23 and -5 to get -115.

$$28750x+\frac{-115}{4}x^{2}$$

Fraction \frac{-115}{4} can be rewritten as -\frac{115}{4} by extracting the negative sign.

$$28750x-\frac{115}{4}x^{2}$$