Solve 1/250=1/A+800*5

$$\frac { 1 } { 250 } = \frac { 1 } { A } + 800 \cdot 5$$

Solve for A

$$A=-\frac{250}{999999}\approx -0.00025$$

Steps for Solving Linear Equation

Variable A cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 250A, the least common multiple of 250,A.

$$A=250+800\times 5\times 250A$$

Multiply 800 and 5 to get 4000.

$$A=250+4000\times 250A$$

Multiply 4000 and 250 to get 1000000.

$$A=250+1000000A$$

Subtract 1000000A from both sides.

$$A-1000000A=250$$

Combine A and -1000000A to get -999999A.

$$-999999A=250$$

Divide both sides by -999999.

$$A=\frac{250}{-999999}$$

Fraction \frac{250}{-999999} can be rewritten as -\frac{250}{999999} by extracting the negative sign.

$$A=-\frac{250}{999999}$$