Solve 400x(6*226-94*74)^2/100*300*80*320

$$\frac { 400 x ( 6 \times 226 - 94 \times 74 ) ^ { 2 } } { 100 \times 300 \times 80 \times 320 }$$

Evaluate

$$\frac{49x}{3}$$

Solution Steps

Cancel out 4\times 100 in both numerator and denominator.

$$\frac{\left(6\times 226-74\times 94\right)^{2}x}{75\times 80\times 320}$$

Multiply 6 and 226 to get 1356.

$$\frac{\left(1356-74\times 94\right)^{2}x}{75\times 80\times 320}$$

Multiply 74 and 94 to get 6956.

$$\frac{\left(1356-6956\right)^{2}x}{75\times 80\times 320}$$

Subtract 6956 from 1356 to get -5600.

$$\frac{\left(-5600\right)^{2}x}{75\times 80\times 320}$$

Calculate -5600 to the power of 2 and get 31360000.

$$\frac{31360000x}{75\times 80\times 320}$$

Multiply 75 and 80 to get 6000.

$$\frac{31360000x}{6000\times 320}$$

Multiply 6000 and 320 to get 1920000.

$$\frac{31360000x}{1920000}$$

Divide 31360000x by 1920000 to get \frac{49}{3}x.

$$\frac{49}{3}x$$

Expand

$$\frac{49x}{3}$$

Solution Steps

Cancel out 4\times 100 in both numerator and denominator.

$$\frac{\left(6\times 226-74\times 94\right)^{2}x}{75\times 80\times 320}$$

Multiply 6 and 226 to get 1356.

$$\frac{\left(1356-74\times 94\right)^{2}x}{75\times 80\times 320}$$

Multiply 74 and 94 to get 6956.

$$\frac{\left(1356-6956\right)^{2}x}{75\times 80\times 320}$$

Subtract 6956 from 1356 to get -5600.

$$\frac{\left(-5600\right)^{2}x}{75\times 80\times 320}$$

Calculate -5600 to the power of 2 and get 31360000.

$$\frac{31360000x}{75\times 80\times 320}$$

Multiply 75 and 80 to get 6000.

$$\frac{31360000x}{6000\times 320}$$

Multiply 6000 and 320 to get 1920000.

$$\frac{31360000x}{1920000}$$

Divide 31360000x by 1920000 to get \frac{49}{3}x.

$$\frac{49}{3}x$$