Solve 900*10^-4/x=10^-3-10^-4

$$\frac { 900 \times 10 ^ { - 4 } } { x } = 10 ^ { - 3 } - 10 ^ { - 4 }$$

Solve for x

$$x=100$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.

$$900\times 10^{-4}=x\times 10^{-3}-x\times 10^{-4}$$

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

$$900\times \frac{1}{10000}=x\times 10^{-3}-x\times 10^{-4}$$

Multiply 900 and \frac{1}{10000} to get \frac{9}{100}.

$$\frac{9}{100}=x\times 10^{-3}-x\times 10^{-4}$$

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

$$\frac{9}{100}=x\times \frac{1}{1000}-x\times 10^{-4}$$

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

$$\frac{9}{100}=x\times \frac{1}{1000}-x\times \frac{1}{10000}$$

Combine x\times \frac{1}{1000} and -x\times \frac{1}{10000} to get \frac{9}{10000}x.

$$\frac{9}{100}=\frac{9}{10000}x$$

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

$$\frac{9}{10000}x=\frac{9}{100}$$

Multiply both sides by \frac{10000}{9}, the reciprocal of \frac{9}{10000}.

$$x=\frac{9}{100}\times \frac{10000}{9}$$

Multiply \frac{9}{100} and \frac{10000}{9} to get 100.

$$x=100$$