Solve S_{2}=S(1+12/10)^2

$$S _ { 2 } = S ( 1 + \frac { 12 } { 10 } ) ^ { 2 }$$

Solve for S

$$S=\frac{25S_{2}}{121}$$

Steps for Solving Linear Equation

Reduce the fraction \frac{12}{10} to lowest terms by extracting and canceling out 2.

$$S_{2}=S\left(1+\frac{6}{5}\right)^{2}$$

Add 1 and \frac{6}{5} to get \frac{11}{5}.

$$S_{2}=S\times \left(\frac{11}{5}\right)^{2}$$

Calculate \frac{11}{5} to the power of 2 and get \frac{121}{25}.

$$S_{2}=S\times \frac{121}{25}$$

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

$$S\times \frac{121}{25}=S_{2}$$

The equation is in standard form.

$$\frac{121}{25}S=S_{2}$$

Divide both sides of the equation by \frac{121}{25}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{121}{25}S}{\frac{121}{25}}=\frac{S_{2}}{\frac{121}{25}}$$

Dividing by \frac{121}{25} undoes the multiplication by \frac{121}{25}.

$$S=\frac{S_{2}}{\frac{121}{25}}$$

Divide S_{2} by \frac{121}{25} by multiplying S_{2} by the reciprocal of \frac{121}{25}.

$$S=\frac{25S_{2}}{121}$$

Solve for S_2

$$S_{2}=\frac{121S}{25}$$

Solution Steps

Reduce the fraction \frac{12}{10} to lowest terms by extracting and canceling out 2.

$$S_{2}=S\left(1+\frac{6}{5}\right)^{2}$$

Add 1 and \frac{6}{5} to get \frac{11}{5}.

$$S_{2}=S\times \left(\frac{11}{5}\right)^{2}$$

Calculate \frac{11}{5} to the power of 2 and get \frac{121}{25}.

$$S_{2}=S\times \frac{121}{25}$$