Solve 027x/x+027=024

$$\frac { 027 x } { x + 027 } = 024$$

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 x.

$$0\times 27x=0\times 24x$$

Multiply 0 and 27 to get 0.

$$0x=0\times 24x$$

Anything times zero gives zero.

$$0=0\times 24x$$

Multiply 0 and 24 to get 0.

$$0=0x$$

Anything times zero gives zero.

$$0=0$$

Compare 0 and 0.

$$\text{true}$$

This is true for any x.

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

Variable x cannot be equal to 0.

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