Solve 3.57*10^4=1+(5*10^5)x^-1

$$3.57 \cdot 10 ^ { 4 } = 1 + ( 5 \cdot 10 ^ { 5 } ) x ^ { - 1 }$$

Solve for x

$$x = \frac{500000}{35699} = 14\frac{214}{35699} \approx 14.005994566$$

Steps for Solving Linear Equation

Calculate 10 to the power of 4 and get 10000.

$$3.57\times 10000=1+5\times 10^{5}x^{-1}$$

Multiply 3.57 and 10000 to get 35700.

$$35700=1+5\times 10^{5}x^{-1}$$

Calculate 10 to the power of 5 and get 100000.

$$35700=1+5\times 100000x^{-1}$$

Multiply 5 and 100000 to get 500000.

$$35700=1+500000x^{-1}$$

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

$$1+500000x^{-1}=35700$$

Subtract 1 from both sides.

$$500000x^{-1}=35700-1$$

Subtract 1 from 35700 to get 35699.

$$500000x^{-1}=35699$$

Divide both sides by 500000.

$$x^{-1}=\frac{35699}{500000}$$

Reorder the terms.

$$\frac{1}{x}=\frac{35699}{500000}$$

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 500000x, the least common multiple of x,500000.

$$500000=35699x$$

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

$$35699x=500000$$

Divide both sides by 35699.

$$x=\frac{500000}{35699}$$