Solve 10^5=x/2pi0.1^2(0.15-0.1)

$$10 ^ { 5 } = \frac { x } { 2 \pi 0.1 ^ { 2 } ( 0.15 - 0.1 ) }$$

Solve for x

$$x=100\pi \approx 314.159265359$$

Steps for Solving Linear Equation

Calculate 10 to the power of 5 and get 100000.

$$100000=\frac{x}{2\pi \times 0.1^{2}\left(0.15-0.1\right)}$$

Calculate 0.1 to the power of 2 and get 0.01.

$$100000=\frac{x}{2\pi \times 0.01\left(0.15-0.1\right)}$$

Multiply 2 and 0.01 to get 0.02.

$$100000=\frac{x}{0.02\pi \left(0.15-0.1\right)}$$

Subtract 0.1 from 0.15 to get 0.05.

$$100000=\frac{x}{0.02\pi \times 0.05}$$

Multiply 0.02 and 0.05 to get 0.001.

$$100000=\frac{x}{0.001\pi }$$

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

$$\frac{x}{0.001\pi }=100000$$

The equation is in standard form.

$$\frac{1000}{\pi }x=100000$$

Divide both sides by 1000\pi ^{-1}.

$$\frac{\frac{1000}{\pi }x\pi }{1000}=\frac{100000\pi }{1000}$$

Dividing by 1000\pi ^{-1} undoes the multiplication by 1000\pi ^{-1}.

$$x=\frac{100000\pi }{1000}$$

Divide 100000 by 1000\pi ^{-1}.

$$x=100\pi$$