Solve x(1+5/100)(1+5/100)=615

$$x(1+ \frac{ 5 }{ 100 } )(1+ \frac{ 5 }{ 100 } )=615$$

Solve for x

$$x = \frac{82000}{147} = 557\frac{121}{147} \approx 557.823129252$$

Steps for Solving Linear Equation

Multiply 1+\frac{5}{100} and 1+\frac{5}{100} to get \left(1+\frac{5}{100}\right)^{2}.

$$x\left(1+\frac{5}{100}\right)^{2}=615$$

Reduce the fraction \frac{5}{100} to lowest terms by extracting and canceling out 5.

$$x\left(1+\frac{1}{20}\right)^{2}=615$$

Convert 1 to fraction \frac{20}{20}.

$$x\left(\frac{20}{20}+\frac{1}{20}\right)^{2}=615$$

Since \frac{20}{20} and \frac{1}{20} have the same denominator, add them by adding their numerators.

$$x\times \left(\frac{20+1}{20}\right)^{2}=615$$

Add 20 and 1 to get 21.

$$x\times \left(\frac{21}{20}\right)^{2}=615$$

Calculate \frac{21}{20} to the power of 2 and get \frac{441}{400}.

$$x\times \frac{441}{400}=615$$

Multiply both sides by \frac{400}{441}, the reciprocal of \frac{441}{400}.

$$x=615\times \frac{400}{441}$$

Express 615\times \frac{400}{441} as a single fraction.

$$x=\frac{615\times 400}{441}$$

Multiply 615 and 400 to get 246000.

$$x=\frac{246000}{441}$$

Reduce the fraction \frac{246000}{441} to lowest terms by extracting and canceling out 3.

$$x=\frac{82000}{147}$$