Solve (6.0*10^-3)^2/x-6.0*10^-3=4.4*10^-4

$$\frac { ( 6.0 \times 10 ^ { - 3 } ) ^ { 2 } } { x - 6.0 \times 10 ^ { - 3 } } = 4.4 \times 10 ^ { - 4 }$$

Solve for x

$$x=\frac{483}{5500}\approx 0.087818182$$

Steps for Solving Linear Equation

Calculate 10 to the power of -3 and get \frac{1}{1000}.

$$\frac{\left(6\times \frac{1}{1000}\right)^{2}}{x-6\times 10^{-3}}=4.4\times 10^{-4}$$

Multiply 6 and \frac{1}{1000} to get \frac{3}{500}.

$$\frac{\left(\frac{3}{500}\right)^{2}}{x-6\times 10^{-3}}=4.4\times 10^{-4}$$

Calculate \frac{3}{500} to the power of 2 and get \frac{9}{250000}.

$$\frac{\frac{9}{250000}}{x-6\times 10^{-3}}=4.4\times 10^{-4}$$

Calculate 10 to the power of -3 and get \frac{1}{1000}.

$$\frac{\frac{9}{250000}}{x-6\times \frac{1}{1000}}=4.4\times 10^{-4}$$

Multiply 6 and \frac{1}{1000} to get \frac{3}{500}.

$$\frac{\frac{9}{250000}}{x-\frac{3}{500}}=4.4\times 10^{-4}$$

Express \frac{\frac{9}{250000}}{x-\frac{3}{500}} as a single fraction.

$$\frac{9}{250000\left(x-\frac{3}{500}\right)}=4.4\times 10^{-4}$$

Calculate 10 to the power of -4 and get \frac{1}{10000}.

$$\frac{9}{250000\left(x-\frac{3}{500}\right)}=4.4\times \frac{1}{10000}$$

Multiply 4.4 and \frac{1}{10000} to get \frac{11}{25000}.

$$\frac{9}{250000\left(x-\frac{3}{500}\right)}=\frac{11}{25000}$$

Use the distributive property to multiply 250000 by x-\frac{3}{500}.

$$\frac{9}{250000x-1500}=\frac{11}{25000}$$

Variable x cannot be equal to \frac{3}{500} since division by zero is not defined. Multiply both sides of the equation by 25000\left(500x-3\right), the least common multiple of 250000x-1500,25000.

$$50\times 9=11\left(500x-3\right)$$

Multiply 50 and 9 to get 450.

$$450=11\left(500x-3\right)$$

Use the distributive property to multiply 11 by 500x-3.

$$450=5500x-33$$

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

$$5500x-33=450$$

Add 33 to both sides.

$$5500x=450+33$$

Add 450 and 33 to get 483.

$$5500x=483$$

Divide both sides by 5500.

$$x=\frac{483}{5500}$$