Solve 20*10^t/45-0,25*10^6/25*frac{V_{2}}{25}

$$\frac { 20 \cdot 10 ^ { t } } { 45 } - \frac { 0,25 \cdot 10 ^ { 6 } } { 25 } \cdot \frac { V _ { 2 } } { 25 }$$

Factor

$$\frac{4\left(10^{t}-900V_{2}\right)}{9}$$

Solution Steps

Divide 20\times 10^{t} by 45 to get \frac{4}{9}\times 10^{t}.

$$factor(\frac{4}{9}\times 10^{t}-\frac{0,25\times 10^{6}}{25}\times \frac{V_{2}}{25})$$

Calculate 10 to the power of 6 and get 1000000.

$$factor(\frac{4}{9}\times 10^{t}-\frac{0,25\times 1000000}{25}\times \frac{V_{2}}{25})$$

Multiply 0,25 and 1000000 to get 250000.

$$factor(\frac{4}{9}\times 10^{t}-\frac{250000}{25}\times \frac{V_{2}}{25})$$

Divide 250000 by 25 to get 10000.

$$factor(\frac{4}{9}\times 10^{t}-10000\times \frac{V_{2}}{25})$$

Cancel out 25, the greatest common factor in 10000 and 25.

$$factor(\frac{4}{9}\times 10^{t}-400V_{2})$$

Factor out \frac{4}{9}.

$$\frac{4\left(10^{t}-900V_{2}\right)}{9}$$

Evaluate

$$\frac{4\times 10^{t}}{9}-400V_{2}$$