Solve x+x*6%+(x*6%)*6%=31000000

$$x+x \times 6 \% +(x \times 6 \% ) \times 6 \% =31000000$$

Solve for x

$$x = \frac{77500000000}{2659} = 29146295\frac{1595}{2659} \approx 29146295.599849568$$

Steps for Solving Linear Equation

Multiply \frac{6}{100} and \frac{6}{100} to get \left(\frac{6}{100}\right)^{2}.

$$x+x\times \frac{6}{100}+x\times \left(\frac{6}{100}\right)^{2}=31000000$$

Reduce the fraction \frac{6}{100} to lowest terms by extracting and canceling out 2.

$$x+x\times \frac{3}{50}+x\times \left(\frac{6}{100}\right)^{2}=31000000$$

Combine x and x\times \frac{3}{50} to get \frac{53}{50}x.

$$\frac{53}{50}x+x\times \left(\frac{6}{100}\right)^{2}=31000000$$

Reduce the fraction \frac{6}{100} to lowest terms by extracting and canceling out 2.

$$\frac{53}{50}x+x\times \left(\frac{3}{50}\right)^{2}=31000000$$

Calculate \frac{3}{50} to the power of 2 and get \frac{9}{2500}.

$$\frac{53}{50}x+x\times \frac{9}{2500}=31000000$$

Combine \frac{53}{50}x and x\times \frac{9}{2500} to get \frac{2659}{2500}x.

$$\frac{2659}{2500}x=31000000$$

Multiply both sides by \frac{2500}{2659}, the reciprocal of \frac{2659}{2500}.

$$x=31000000\times \frac{2500}{2659}$$

Express 31000000\times \frac{2500}{2659} as a single fraction.

$$x=\frac{31000000\times 2500}{2659}$$

Multiply 31000000 and 2500 to get 77500000000.

$$x=\frac{77500000000}{2659}$$