Solve 40/3-frac{10*sqrt{19}}{9}=220*220*2*pi*60*x

$$\frac{ 40 }{ 3 } - \frac{ 10 \times \sqrt{ 19 } }{ 9 } =220 \times 220 \times 2 \times \pi \times 60 \times x$$

Solve for x

$$x=-\frac{\sqrt{19}-12}{5227200\pi }\approx 0.000000465$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 9, the least common multiple of 3,9.

$$120-10\sqrt{19}=1980\times 220\times 2\pi \times 60x$$

Multiply 1980 and 220 to get 435600.

$$120-10\sqrt{19}=435600\times 2\pi \times 60x$$

Multiply 435600 and 2 to get 871200.

$$120-10\sqrt{19}=871200\pi \times 60x$$

Multiply 871200 and 60 to get 52272000.

$$120-10\sqrt{19}=52272000\pi x$$

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

$$52272000\pi x=120-10\sqrt{19}$$

Divide both sides by 52272000\pi .

$$\frac{52272000\pi x}{52272000\pi }=\frac{120-10\sqrt{19}}{52272000\pi }$$

Dividing by 52272000\pi undoes the multiplication by 52272000\pi .

$$x=\frac{120-10\sqrt{19}}{52272000\pi }$$

Divide 120-10\sqrt{19} by 52272000\pi .

$$x=\frac{12-\sqrt{19}}{5227200\pi }$$