Solve 01/2=05/x

$$\frac { 01 } { 2 } = \frac { 05 } { x }$$

Solve for x

$$x\neq 0$$

Solution Steps

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 2x, the least common multiple of 2,x.

$$x\times 0\times 1=2\times 0\times 5$$

Multiply 0 and 1 to get 0.

$$x\times 0=2\times 0\times 5$$

Anything times zero gives zero.

$$0=2\times 0\times 5$$

Multiply 2 and 0 to get 0.

$$0=0\times 5$$

Multiply 0 and 5 to get 0.

$$0=0$$

Compare 0 and 0.

$$\text{true}$$

This is true for any x.

$$x\in \mathrm{R}$$

Variable x cannot be equal to 0.

$$x\in \mathrm{R}\setminus 0$$