Solve 12/100*600+300x/100*15/100(600+x)

$$\frac { 12 } { 100 } \times 600 + \frac { 300 x } { 100 } \times \frac { 15 } { 100 } ( 600 + x )$$

Evaluate

$$\frac{9\left(x\left(x+600\right)+160\right)}{20}$$

Solution Steps

Reduce the fraction \frac{12}{100} to lowest terms by extracting and canceling out 4.

$$\frac{3}{25}\times 600+\frac{300x}{100}\times \frac{15}{100}\left(600+x\right)$$

Express \frac{3}{25}\times 600 as a single fraction.

$$\frac{3\times 600}{25}+\frac{300x}{100}\times \frac{15}{100}\left(600+x\right)$$

Multiply 3 and 600 to get 1800.

$$\frac{1800}{25}+\frac{300x}{100}\times \frac{15}{100}\left(600+x\right)$$

Divide 1800 by 25 to get 72.

$$72+\frac{300x}{100}\times \frac{15}{100}\left(600+x\right)$$

Divide 300x by 100 to get 3x.

$$72+3x\times \frac{15}{100}\left(600+x\right)$$

Reduce the fraction \frac{15}{100} to lowest terms by extracting and canceling out 5.

$$72+3x\times \frac{3}{20}\left(600+x\right)$$

Express 3\times \frac{3}{20} as a single fraction.

$$72+\frac{3\times 3}{20}x\left(600+x\right)$$

Multiply 3 and 3 to get 9.

$$72+\frac{9}{20}x\left(600+x\right)$$

Use the distributive property to multiply \frac{9}{20}x by 600+x.

$$72+\frac{9}{20}x\times 600+\frac{9}{20}xx$$

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

$$72+\frac{9}{20}x\times 600+\frac{9}{20}x^{2}$$

Express \frac{9}{20}\times 600 as a single fraction.

$$72+\frac{9\times 600}{20}x+\frac{9}{20}x^{2}$$

Multiply 9 and 600 to get 5400.

$$72+\frac{5400}{20}x+\frac{9}{20}x^{2}$$

Divide 5400 by 20 to get 270.

$$72+270x+\frac{9}{20}x^{2}$$

Expand

$$\frac{9x^{2}}{20}+270x+72$$

Solution Steps

Reduce the fraction \frac{12}{100} to lowest terms by extracting and canceling out 4.

$$\frac{3}{25}\times 600+\frac{300x}{100}\times \frac{15}{100}\left(600+x\right)$$

Express \frac{3}{25}\times 600 as a single fraction.

$$\frac{3\times 600}{25}+\frac{300x}{100}\times \frac{15}{100}\left(600+x\right)$$

Multiply 3 and 600 to get 1800.

$$\frac{1800}{25}+\frac{300x}{100}\times \frac{15}{100}\left(600+x\right)$$

Divide 1800 by 25 to get 72.

$$72+\frac{300x}{100}\times \frac{15}{100}\left(600+x\right)$$

Divide 300x by 100 to get 3x.

$$72+3x\times \frac{15}{100}\left(600+x\right)$$

Reduce the fraction \frac{15}{100} to lowest terms by extracting and canceling out 5.

$$72+3x\times \frac{3}{20}\left(600+x\right)$$

Express 3\times \frac{3}{20} as a single fraction.

$$72+\frac{3\times 3}{20}x\left(600+x\right)$$

Multiply 3 and 3 to get 9.

$$72+\frac{9}{20}x\left(600+x\right)$$

Use the distributive property to multiply \frac{9}{20}x by 600+x.

$$72+\frac{9}{20}x\times 600+\frac{9}{20}xx$$

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

$$72+\frac{9}{20}x\times 600+\frac{9}{20}x^{2}$$

Express \frac{9}{20}\times 600 as a single fraction.

$$72+\frac{9\times 600}{20}x+\frac{9}{20}x^{2}$$

Multiply 9 and 600 to get 5400.

$$72+\frac{5400}{20}x+\frac{9}{20}x^{2}$$

Divide 5400 by 20 to get 270.

$$72+270x+\frac{9}{20}x^{2}$$