Solve 500=p{left(1+10/100right)}^2-p10*2/100

$$500 = p { \left(1+ \frac{ 10 }{ 100 } \right) }^{ 2 } - \frac{ p10 \cdot 2 }{ 100 }$$

Solve for p

$$p=\frac{2\left(p_{10}+25000\right)}{121}$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 100.

$$50000=100p\left(1+\frac{10}{100}\right)^{2}-p_{10}\times 2$$

Reduce the fraction \frac{10}{100} to lowest terms by extracting and canceling out 10.

$$50000=100p\left(1+\frac{1}{10}\right)^{2}-p_{10}\times 2$$

Add 1 and \frac{1}{10} to get \frac{11}{10}.

$$50000=100p\times \left(\frac{11}{10}\right)^{2}-p_{10}\times 2$$

Calculate \frac{11}{10} to the power of 2 and get \frac{121}{100}.

$$50000=100p\times \frac{121}{100}-p_{10}\times 2$$

Multiply 100 and \frac{121}{100} to get 121.

$$50000=121p-p_{10}\times 2$$

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

$$121p-p_{10}\times 2=50000$$

Add p_{10}\times 2 to both sides.

$$121p=50000+p_{10}\times 2$$

The equation is in standard form.

$$121p=2p_{10}+50000$$

Divide both sides by 121.

$$\frac{121p}{121}=\frac{2p_{10}+50000}{121}$$

Dividing by 121 undoes the multiplication by 121.

$$p=\frac{2p_{10}+50000}{121}$$

Solve for p_10

$$p_{10}=\frac{121p}{2}-25000$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 100.

$$50000=100p\left(1+\frac{10}{100}\right)^{2}-p_{10}\times 2$$

Reduce the fraction \frac{10}{100} to lowest terms by extracting and canceling out 10.

$$50000=100p\left(1+\frac{1}{10}\right)^{2}-p_{10}\times 2$$

Add 1 and \frac{1}{10} to get \frac{11}{10}.

$$50000=100p\times \left(\frac{11}{10}\right)^{2}-p_{10}\times 2$$

Calculate \frac{11}{10} to the power of 2 and get \frac{121}{100}.

$$50000=100p\times \frac{121}{100}-p_{10}\times 2$$

Multiply 100 and \frac{121}{100} to get 121.

$$50000=121p-p_{10}\times 2$$

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

$$121p-p_{10}\times 2=50000$$

Subtract 121p from both sides.

$$-p_{10}\times 2=50000-121p$$

Multiply -1 and 2 to get -2.

$$-2p_{10}=50000-121p$$

Divide both sides by -2.

$$\frac{-2p_{10}}{-2}=\frac{50000-121p}{-2}$$

Dividing by -2 undoes the multiplication by -2.

$$p_{10}=\frac{50000-121p}{-2}$$

Divide 50000-121p by -2.

$$p_{10}=\frac{121p}{2}-25000$$