Solve x=400(6*300-74*14)^2/80*320*20*380

$$x = \frac { 400 ( 6 \times 300 - 74 \times 14 ) ^ { 2 } } { 80 \times 320 \times 20 \times 380 }$$

Solve for x

$$x = \frac{36481}{30400} = 1\frac{6081}{30400} \approx 1.200032895$$

Steps for Solving Linear Equation

Cancel out 5\times 80 in both numerator and denominator.

$$x=\frac{\left(6\times 300-14\times 74\right)^{2}}{20\times 64\times 380}$$

Multiply 6 and 300 to get 1800.

$$x=\frac{\left(1800-14\times 74\right)^{2}}{20\times 64\times 380}$$

Multiply 14 and 74 to get 1036.

$$x=\frac{\left(1800-1036\right)^{2}}{20\times 64\times 380}$$

Subtract 1036 from 1800 to get 764.

$$x=\frac{764^{2}}{20\times 64\times 380}$$

Calculate 764 to the power of 2 and get 583696.

$$x=\frac{583696}{20\times 64\times 380}$$

Multiply 20 and 64 to get 1280.

$$x=\frac{583696}{1280\times 380}$$

Multiply 1280 and 380 to get 486400.

$$x=\frac{583696}{486400}$$

Reduce the fraction \frac{583696}{486400} to lowest terms by extracting and canceling out 16.

$$x=\frac{36481}{30400}$$

Assign x

$$x≔\frac{36481}{30400}$$