Solve k=100left(2*52-28*18right)^2/20*80*70*30

$$k = \frac{ 100 { \left( 2 \cdot 52-28 \cdot 18 \right) }^{ 2 } }{ 20 \cdot 80 \cdot 70 \cdot 30 }$$

Solve for k

$$k = \frac{100}{21} = 4\frac{16}{21} \approx 4.761904762$$

Steps for Solving Linear Equation

Cancel out 5\times 20 in both numerator and denominator.

$$k=\frac{\left(2\times 52-18\times 28\right)^{2}}{16\times 30\times 70}$$

Multiply 2 and 52 to get 104.

$$k=\frac{\left(104-18\times 28\right)^{2}}{16\times 30\times 70}$$

Multiply 18 and 28 to get 504.

$$k=\frac{\left(104-504\right)^{2}}{16\times 30\times 70}$$

Subtract 504 from 104 to get -400.

$$k=\frac{\left(-400\right)^{2}}{16\times 30\times 70}$$

Calculate -400 to the power of 2 and get 160000.

$$k=\frac{160000}{16\times 30\times 70}$$

Multiply 16 and 30 to get 480.

$$k=\frac{160000}{480\times 70}$$

Multiply 480 and 70 to get 33600.

$$k=\frac{160000}{33600}$$

Reduce the fraction \frac{160000}{33600} to lowest terms by extracting and canceling out 1600.

$$k=\frac{100}{21}$$

Assign k

$$k≔\frac{100}{21}$$