Solve 164=P[21/20*21/20-1]

$$164 = P [ \frac { 21 } { 20 } \times \frac { 21 } { 20 } - 1 ]$$

Solve for P

$$P=1600$$

Steps for Solving Linear Equation

Multiply \frac{21}{20} times \frac{21}{20} by multiplying numerator times numerator and denominator times denominator.

$$164=P\left(\frac{21\times 21}{20\times 20}-1\right)$$

Do the multiplications in the fraction \frac{21\times 21}{20\times 20}.

$$164=P\left(\frac{441}{400}-1\right)$$

Convert 1 to fraction \frac{400}{400}.

$$164=P\left(\frac{441}{400}-\frac{400}{400}\right)$$

Since \frac{441}{400} and \frac{400}{400} have the same denominator, subtract them by subtracting their numerators.

$$164=P\times \frac{441-400}{400}$$

Subtract 400 from 441 to get 41.

$$164=P\times \frac{41}{400}$$

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

$$P\times \frac{41}{400}=164$$

Multiply both sides by \frac{400}{41}, the reciprocal of \frac{41}{400}.

$$P=164\times \frac{400}{41}$$

Express 164\times \frac{400}{41} as a single fraction.

$$P=\frac{164\times 400}{41}$$

Multiply 164 and 400 to get 65600.

$$P=\frac{65600}{41}$$

Divide 65600 by 41 to get 1600.

$$P=1600$$