Solve alphapartialx/x=1

$$\alpha \frac { \partial x } { x } = 1$$

Solve for x

$$x\neq 0$$

$$\alpha =\frac{1}{∂}\text{ and }∂\neq 0$$

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.

$$\alpha ∂x=x$$

Subtract x from both sides.

$$\alpha ∂x-x=0$$

Combine all terms containing x.

$$\left(\alpha ∂-1\right)x=0$$

Divide 0 by \alpha ∂-1.

$$x=0$$

Variable x cannot be equal to 0.

$$x\in \emptyset$$

Solve for α

$$\alpha =\frac{1}{∂}$$

$$∂\neq 0\text{ and }x\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by x.

$$\alpha ∂x=x$$

Reorder the terms.

$$x\alpha ∂=x$$

The equation is in standard form.

$$x∂\alpha =x$$

Divide both sides by x∂.

$$\frac{x∂\alpha }{x∂}=\frac{x}{x∂}$$

Dividing by x∂ undoes the multiplication by x∂.

$$\alpha =\frac{x}{x∂}$$

Divide x by x∂.

$$\alpha =\frac{1}{∂}$$