Solve 1/10^6+1/x=1/25*10^4

$$\frac{ 1 }{ { 10 }^{ 6 } } + \frac{ 1 }{ x } = \frac{ 1 }{ 25 \times { 10 }^{ 4 } }$$

Solve for x

$$x = \frac{1000000}{3} = 333333\frac{1}{3} \approx 333333.333333333$$

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.

$$\frac{1}{1000000}x+1=\frac{1}{250000}x$$

Subtract \frac{1}{250000}x from both sides.

$$\frac{1}{1000000}x+1-\frac{1}{250000}x=0$$

Combine \frac{1}{1000000}x and -\frac{1}{250000}x to get -\frac{3}{1000000}x.

$$-\frac{3}{1000000}x+1=0$$

Subtract 1 from both sides. Anything subtracted from zero gives its negation.

$$-\frac{3}{1000000}x=-1$$

Multiply both sides by -\frac{1000000}{3}, the reciprocal of -\frac{3}{1000000}.

$$x=-\left(-\frac{1000000}{3}\right)$$

Multiply -1 and -\frac{1000000}{3} to get \frac{1000000}{3}.

$$x=\frac{1000000}{3}$$