Solve x*(1.05^2)=0.1*x+30

$$x \times ( { 1.05 }^{ 2 } )=0.1 \times x+30$$

Solve for x

$$x = \frac{12000}{401} = 29\frac{371}{401} \approx 29.925187032$$

Steps for Solving Linear Equation

Calculate 1.05 to the power of 2 and get 1.1025.

$$x\times 1.1025=0.1x+30$$

Subtract 0.1x from both sides.

$$x\times 1.1025-0.1x=30$$

Combine x\times 1.1025 and -0.1x to get 1.0025x.

$$1.0025x=30$$

Divide both sides by 1.0025.

$$x=\frac{30}{1.0025}$$

Expand \frac{30}{1.0025} by multiplying both numerator and the denominator by 10000.

$$x=\frac{300000}{10025}$$

Reduce the fraction \frac{300000}{10025} to lowest terms by extracting and canceling out 25.

$$x=\frac{12000}{401}$$