Solve 20,400=800*24*800*24(24+1)/2*12*gamma/100

$$20,400 = 800 \times 24 \times 800 \times \frac { 24 ( 24 + 1 ) } { 2 \times 12 } \times \frac { \gamma } { 100 }$$

Solve for γ

$$\gamma =\frac{17}{3200}=0.0053125$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 100.

$$2040000=800\times 24\times 800\times \frac{24\left(24+1\right)}{2\times 12}\gamma$$

Multiply 800 and 24 to get 19200.

$$2040000=19200\times 800\times \frac{24\left(24+1\right)}{2\times 12}\gamma$$

Multiply 19200 and 800 to get 15360000.

$$2040000=15360000\times \frac{24\left(24+1\right)}{2\times 12}\gamma$$

Cancel out 2\times 12 in both numerator and denominator.

$$2040000=15360000\left(1+24\right)\gamma$$

Add 1 and 24 to get 25.

$$2040000=15360000\times 25\gamma$$

Multiply 15360000 and 25 to get 384000000.

$$2040000=384000000\gamma$$

Swap sides so that all variable terms are on the left hand side.

$$384000000\gamma =2040000$$

Divide both sides by 384000000.

$$\gamma =\frac{2040000}{384000000}$$

Reduce the fraction \frac{2040000}{384000000} to lowest terms by extracting and canceling out 120000.

$$\gamma =\frac{17}{3200}$$